Definitions for

**"Topology"****Related Terms:**Network topology, Mesh, Star topology, Star, Ring network, Ring topology, Star network, Virtual lan, Hub, Vlan , Collapsed backbone, Logical network, Virtual local area network, Internetworking, Bus topology, Bus network, Connectivity, Ethernet switch, Segment, Token ring network, Token ring, Network bridge, Vpls, Bridge, Token-ring, Mesh network, Multistation access unit, Lan emulation, Internetwork, Edge device, Token-ring network, Ieee 802.5, Local area network, Switching hub, Network, Backbone, Network node, Token bus, Lan, Networks, Switch, Lan - local area network, Local-area network, Spanning tree protocol, Mau, Virtual connection, Ieee 802.1q, Virtual circuit, Flat network, Ieee 802.4

a branch of mathematics which studies the properties of geometrical forms which retain their identity under certain transformations, such as stretching or twisting, which are homeomorphic. See also topologist.

configuration, especially in three dimensions; -- used, e. g. of the configurations taken by macromolecules, such as superhelical DNA.

A mathematical term that refers to the spatial relationships between shapes. Once topology is established via a GIS, concepts such as beside, nearest, within, around, distance between, etc. all have meaning to a computer. Some GIS systems require that topology be established as a distinct step in the production of a layer. In Arcview, a shapefile has its topology already established.

the relationship between points, lines, and geometric forms that remain consistent throughout spatial operations in a digital mapping environment.

The wiring scheme of a network.

Topology is used in local area networks. It is the physical picture of how the wires or cables are laid out. The logical topology describes how the messages flow.

Way in which geographic elements are structured or connected together; a mathematical representation of spatial relationships among geographic entities.

Method of determining spatial relationships in vector data models (tells computer what is inside or outside a polygon or which nodes are connected by arcs). Turns vector nodes, arcs, and polygons into intelligent maps.

topology is a set of rules used to define in an explicit way correlations, connections and continuity relationships among spatial data and to connect such elements to their relative descriptions (attributes). In a topological data model, for example, it is possible to recognize adjoining areas and identify the lines marking the bounds of each surface (boundaries).

The physical shape and arrangement of a LAN. There are three major types: star topology - all devices are connected to a central hub or switch. This is the most popular configuration. bus topology - all devices are connected to a central cable, called a backbone. ring topology - all devices are connected to each other in a ring shape.

The description of how spatial features are connected to each other.

a collection of simple feature classes within the same feature dataset that participate in topological relationships with a set of rules that govern those relationships

a generalized geometric configuration of some class of objects that join together

a set of integrity rules and software tools that define the behavior of geographic features and feature classes

a wiring layout

The relative location of geographic phenomena independent of their exact position. In digital data, topological relationships such as connectivity, adjacency and relative position are usually expressed as relationships between nodes, links and polygons. For example, the topology of a line includes its from- and to-nodes, and its left and right polygons. Topology is useful in GIS because many spatial modelling operations don not require coordinates, only topological information. For example, to find an optimal path between two points requires a list of the lines or arcs that connect to each other and the cost to traverse each line in each direction. Coordinates are only needed for drawing the path after it is calculated.

refers to any relationship between connected geometric primitives that is not altered by continuous transformation.

A branch of non-euclidean geometry that analyzes the spatial relationships and connectivity of graphs and their components. In GIS, topology is a key element used in a number of data models, such as ARC/INFO.

Two types; physical and logical. Logical topology defines the way a LAN communicates. Physical topology defines the way a LAN is physically wired.

The physical arrangement of how devices are connected on a LAN or between two LANs. Common topologies include star, token ring and bus.

The surface layout design study and characterisation of a microcircuit. It has application chiefly in the preparation of the artwork for the layout masks used in fabrication.

A geographic data structure in which the inherent spatial connectivity and adjacency relationships of features are explicitly stored and maintained.

The properties of and relationships between the lines, points and polygons that make up a geographical data set - the way in which geographical elements are linked together

The layout of a computer network.

a program that displays the topology of a Marconi ATM network. An updated topology can be periodically re-displayed by use of the interval command option.

The "layout" of all the computers on a network and the links that join them.

The spatial relationships between point, line, and area features of a data set, expressed and stored as connections between touching lines, small areas within larger ones, the sides of polygons shared by adjacent polygons and so on. Topologic relationships are useful in GIS because many spatial analysis operations do not require coordinates, only topological information. For example, to find the best path between two points requires a list of lines that connect to each other. Coordinates are only needed to draw the path once it is calculated.

This refers to the general structure of a network.

A description of any kind of locality in terms of its physical layout. In the context of communication networks, a topology describes pictorially the configuration or arrangement of a network, including its nodes and connecting communication lines.

n. In communications, the physical or logical arrangement of nodes in a network, especially the relationships among nodes and the links between them.

The ways in which the SN0 nodes are connected in general (see also hypercube); but in particular the relationship between the nodes in which the various threads of a parallel program are executed. Typical program topologies are cluster (which minimizes the distance between nodes), cube, and hypercube.

The spatial relationships between connecting or adjacent coverage features such as arcs, nodes, polygons, and points.

The physical shape of a network. There are three principal topologies: multi-drop bus, token-ring, and star.

The explicit definition of how map features represented by points, lines and areas are related. Specifically, issues of connectivity and adjacency of features are accounted for.

Topology refers to the physical configuration of a network or networks. The term is generally used to refer to where each of the component parts is in relation to each other.

A mathematical concept that allows us to structure data based on the principles of feature adjacency and feature connectivity. It is the method used to define spatial relationships.

The physical or logical interconnection pattern of a LAN.

The physical or logical arrangement of devices in a networked configuration.

There are two types of topology: physical and logical. The physical topology of a network refers to the configuration of cables, computers, and other peripherals. Logical topology is the method used to pass the information between workstations. Issues involving logical topologies are discussed on the Protocol chapter

A networkâ€™s topology is a description of the kind of layout that has been used to cable the computers together.

A mathematical term. In Data Communications, the word describes the logical (rather than the physical) way in which computers are linked in a network. Common topologies are Star, Token Ring and Bus networks.

The logical and/or physical arrangement of stations on a network.

The general structure of a network. Some examples are star and ring topology.

The physical structure and organization of a network. The most common topologies are bus, tree, ring, and star.

For the purposes of this glossary, topology refers to the type of network, such as; Ethernet, switched-Ethernet, Token Ring, etc. A topology diagram is a drawing of the various networks in an information system.

Interconnection and/or interdependencies between components of an application or between network devices

Basic wiring configurations for Local Area Networks (LANs), usually of two types â€” bus topology (components are linked to an electronic spine) and star topology (components are linked to a central wiring hub).

The physical layout of a network.

Physical and logical layout of a networked system.

A description of the interconnections and relationships in a network. Some versions of Oracle Enterprise Manager use a topology file to populate the Enterprise Manager Navigator with manageable entities.

The format in which a network is laid out, such as a bus format, a ring format, or a star format. Variations or combinations of these topologies are also commonly used.

Geometric arrangement of nodes and cable links in a local area network. May be either centralized or decentralized.

the configuration of the processors in a multicomputer and the circuits in a switch. Among the most common topologies are the mesh, the hypercube, the butterfly, the torus, and the shuffle exchange network.

The relationships in spatial terms between connected or adjacent geographical objects. Topology is used to apply intelligence to data held in the vector data model. For example, topological information stored for an arc might include the polygon to its left and right, and the nodes to which it is connected.

The way a directory tree is divided among physical servers and how these servers link with one another.

Topology refers to the configuration of a local area network -- how the network is physically laid out. The basic types are centralized and decentralized; the basic formats are the star topology (centralized) and the bus and ring topologies (decentralized).

A geometric way of organizing computers in a network.

A network topology shows the computers and the links between them. A network layer must stay abreast of the current network topology to be able to route packets to their final destination. [Source: MALAMUD

Can be either physical or logical. Physical topology describes the physical connections of a network and the geometric arrangement of links and nodes that make up that network. Logical topology describes the possible logical connections between nodes, and indicates which pairs of nodes are able to communicate.

The configuration of a communication network. The physical topology is the way the network looks. Physical topologies for LANs include a bus, a ring, and a star.

The way a network is physically structured. Example: a ring, bus, or star configuration.

the geometric configuration of a computer network, or how the network is physically laid out. Common topologies are star (centralized), bus (decentralized), and ring (decentralized).

The allowable connectivity between nodes, anchors and links: for example, 1-1 or many-1 mappings. (More...)

method of connecting computers in a network; examples include fully interconnected, chain, loop, star, ring, and bus.

A map used to define computers in a network and the links between them.

The way in which the neurons are connected together determines the topology of the neural network. Sometimes referred to as architecture or paradigm.

The physical and logical arrangement of devices in a storage area network (SAN). Topology can be displayed graphically, showing devices and their interconnections.

The way in which geographical elements are related to each other. The topology of the data must be defined before GIS analysis can be performed. The relative location of geographic phenomena independent of their exact position. In digital data, topological relationships such as connectivity, adjacency and relative position are usually expressed as relationships between nodes, links and polygons. For example, the topology of a line includes its from- and to-nodes, and its left and right polygons.

Configuration.For example, the topology of a network shows the pattern in which the computers are interconnected.Common network topologies are the star, bus, and Token ring.

(n.) A family of graphs created using the same general rule or that share certain properties. The processors in a multicomputer, and the circuits in a switch, are usually laid out using one of several topologies, including the mesh, the hypercube, the butterfly, the torus and the shuffle exchange network. See also bisection bandwidth, diameter.

Logical or physical arrangement of stations on a network in relation to one another. See bus, ring, star and tree.

The arrangement of the nodes and connecting hardware that comprises the network. Types include ring, bus, star and tree.

The geometric physical or electrical configuration describing a local communication network. The most common distribution system topologies are the bus, ring, and star.

Description of the relationships between point, line, and polygon features in vector data.

The way in which the devices on a LAN are connected together. There are three main LAN topologies: bus, star and ring.

The physical configuration of the devices and the communication ling that connects them. See "star" and "bus" for examples. (1)

Geometrical arrangement of nodes in a network. There are various kinds of topologies like star, mesh and ring.

The map or plan of the network. The physical topology describes how the wires or cables are laid out, and the logical or electrical topology describes how the information flows.

The physical layout of network components (cable, stations, gateways, hubs, nodes, and so on). There are three basic interconnection topologies - star, ring, and bus networks.

The architecture of a network, or the way circuits are connected to link the network nodes together.

Physically organization of a network.

The manner in which the nodes or stations of a network are connected.

A procedure that uses lists of features for explicitly defining spatial relationships. For example, an area is defined by the chains (arcs) comprising its border.

A wiring configuration used for a network. Examples are the ring, star, bus, and so on.

The physical and logical relationship of nodes on a network (e.g., star, ring, bus etc.).

Geometric or physical configuration of a network.

The spatial relationships between connecting or adjacent coverage features (e.g., points, lines, and polygons). It provides a way in which geographic features are linked together.

The logical layout of a network. Change Manager uses a topology that is a tree of host groups and managed hosts. Each domain has a separate topology. The Change Manager topology only reflects the managed hosts and host groups you specify. The topology might not be a complete representation of the network.

The physical arrangement and relationship of interconnected notes and lines in a network. The most common network topologies are bus, ring and star.

Physical topology of a network refers to the configuration of cables, computers, and other peripherals. main types of physical topology are: linear bus (backbone), star, star-wired ring, and hybrid. Logical topology is the method used to pass the information betweenworkstations. Examples are: Ethernet, AppleTalk, Token Ring, and TCP/IP.

Network architecture, circuit design and transmission protocols.

Describes how a network is structured.

A set of defined relationships between links, nodes, and centroids. Topology describes how lines and polygons connect and relate to each other, and forms the basis for advanced GIS functions, such as network tracing and spatial analysis.

1. The totality of a surface's shape, number of spans, and degree. 2. The relationships between surfaces in a solid model: loops, edges, and vertices.

In Windows, the relationships among a set of network components. In the context of Active Directory replication, topology refers to the set of connections that domain controllers use to replicate information among themselves. See also: Active Directory; domain controller; replication

The connectivity among a group of nodes. Physical topology relates to how devices are cabled. Logical topology refers to how nodes actually interact.

The physical or logical arrangement of nodes on a network. Physical topology describes the physical relationships between nodes and links. Logical topology is the description of the possible logical connections between network nodes, indicating which pairs of nodes are able to communicate. LANs are usually configured in one of three topologies: star where devices are linked to a central point; ring where devices are connected in a closed loop; or bus where devices are attached to a linear, open-ended cable terminated at each end with a resistive load.

The spatial relationships between connecting or adjacent coverage features (e.g., arcs, nodes, polygons, and points). For example, the topology of an arc includes its from- and to-nodes, and its left and right polygons. Topological relationships are built from simple elements into complex elements: points (simplest elements), arcs (sets of connected points), areas (sets of connected arcs), and routes (sets of sections, which are arcs or portions of arcs). Redundant data (coordinates) are eliminated because an arc may represent a linear feature, part of the boundary of an area feature, or both. Topology is useful in GIS because many spatial modeling operations don't require coordinates, only topological information. For example, to find an optimal path between two points requires a list of the arcs that connect to each other and the cost to traverse each arc in each direction. Coordinates are only needed for drawing the path after it is calculated.

n. The configuration formed by the connections between devices on a local area network (LAN) or between two or more LANs. See also bus network, LAN, ring network, star network, token ring network, tree network.

A wiring configuration used for a network. Also referred to as a network's architecture.

The "map" of a network. In physical terms, it may refer to where cables are run and where other devices, such as nodes, gateways, routers and servers are located.

The study of the geometric properties and spatial relations of flat and solid shapes that are unchanged by squeezing, stretching, twisting, or changing of size.

For a neural network, topology refers to the number of layers and the number of nodes in each layer.

**Related Terms:**Graph, Topology, Geometry, Mesh, Graph theory, Tree, Surface, Connected, Node, Topological space, Topological sort, Connected component, Path, Symmetry, Analytic geometry, Arc, Triangulated irregular network, Morphism, Feature, Topos, Feature, Manifold, Petri net, Tin, Mapping, Discrete mathematics, Mandelbrot set, Feature, Dependency graph, Mathematics, Shape, Directed acyclic graph, Transform, Neighbor, Curve, Directed graph, Point, Hypergraph, Tensor, Fractal, Mesh, Mapping, Semantic network, Transformation, Homomorphism, Primitive, Link, Relate, Isomorphism

The set of properties of geometic forms (such as connectivity, neighbourhood) which is defined with the data model remaining invariant when subject to a continuous transformation. The level of topology chosen for the ENC allows for colour fill, activation of area warnings, e.g. depth area warnings, cautionary areas. The different levels of topology are described in the S-57 Data Model.

the study of surfaces; the study of properties which do not change under certain transformations

the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions

branch of geometrical mathematics concerned with order, contiguity, and relative position, rather than actual linear dimensions.

The branching sequence of a tree.

A branch of mathematics that deals with stretching and changing shapes. Many of the secrets for rope escape tricks can be explained through topology. (Book 5)

refers to properties of geometric forms that remain invariant when the forms are deformed or transformed by bending, stretching, and shrinking. Among the topological properties of concern in GIS are connectivity, order, and neighborhood.

The design type of a converter, indicative of the configuration of switching transistors, utilization of the transformer, and type of filtering. Examples of topologies are the Flyback, Forward, Half-Bridge, Full Bridge, and Resonant.

A modern branch of mathematics that deals, among other things, with the properties of geometric objects that remain the same when the objects are changed by certain operations, such as shrinking, stretching, or twisting. Tearing, breaking, poking holes, and “sticking together” are not permitted. Transformations that follow these rules are called topological transformations. Properties of a figure that a not changed by topological transformations are called topological properties. Examples of topological properties include the order of points on a curve and the number of holes in a shape (its genus).

A sophisticated means of characterizing the geometry of an object. Although a circle and a square have different shapes they have the same topology whereas a disc and a ring although both round have different topology.

The branching pattern of a phylogenetic tree.

The study of the geometry of shapes distorted in space.

Topology (Greek topos, place and logos, study) is a branch of mathematics, which is an extension of geometry. Topology begins with a consideration of the nature of space, investigating both its fine structure and its global structure. Topology builds on set theory, considering both sets of points and families of sets.

Topology is a distinguished mathematical journal publishing scholarly articles related to topology and geometry. It is published by Elsevier and was founded by J.H.C. Whitehead.

classification of shapes into groups that can be deformed into one another without ripping or tearing their structure in any way.

The study of the deformability of intact structures.

topographic study of a given place (especially the history of place as indicated by its topography); "Greenland's topology has been shaped by the glaciers of the ice age"

the study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region

a set, in our case S together with a set of subsets of S

A collection of subsets of a given set that satisfy the topology axioms. Proof by Contradiction

The theory of how to keep your doughnut from falling apart when you dunk it in your coffee cup.

a hierarchical representation of all the resources , or objects (such as servers, applications, and hosts), that are registered in a configuration directory

The topology of an electronic circuit is the basic configuration of the circuit without regard to specific component values or ratings. Schematic diagrams illustrating circuit topology often show only the major components.

The manner in which the components of a subject are arranged or interrelated.

I suggest looking this one up yourself

See Topological space.