Topology vs Homology - What's the difference?
topology | homology |
(mathematics) A branch of mathematics studying those properties of a geometric figure or solid that are not changed by stretching, bending and similar homeomorphisms.
(mathematics) A collection ?'' of subsets of a set ''X'' such that the empty set and ''X'' are both members of ''?'' and ''? is closed under arbitrary unions and finite intersections.
(medicine) The anatomical structure of part of the body.
(computing) The arrangement of nodes in a communications network.
(technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
(topography) The topographical study of geographic locations or given places in relation to its history.
(dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
A homologous relationship.
(biology) A correspondence of structures in two life forms with a common evolutionary origin, such as flippers and hands.
(chemistry) The relationship between the elements in the same group of the periodic table, or between organic compounds in a homologous series.
(topology) A theory associating a system of groups to each topological space.
(algebra) A certain system of groups associated to a chain complex.
(genetics) The presence of the same series of bases in related genes.