Definitions for "Hereditary"
Descended, or capable of descending, from an ancestor to an heir at law; received or passing by inheritance, or that must pass by inheritance; as, an hereditary estate or crown.
Transmitted, or capable of being transmitted, as a constitutional quality or condition from a parent to a child; as, hereditary pride, bravery, disease.
Qualities or traits transferred through the genes from one generation to another.
A property of spaces is said to be hereditary if whenever a space has that property, then so does every subspace of it. For example, second-countability is a hereditary property.