Definition & Meaning | English word HOMOLOGY

Definitions of HOMOLOGY

1. The relationship of being homologous; a homologous relationship;<br>(geometry, projective geometry) specifically, such relationship in the context of the geometry of perspective.
2. (geometry, projective geometry) An automorphism of the projective plane (representing a perspective projection) that leaves all the points of some straight line (the homology axis) fixed and maps all the lines through some single point (the homology centre) onto themselves.
3. (topology, algebraic topology) A general way of associating a sequence of algebraic objects, such as abelian groups or modules, to a sequence of topological spaces; also used attributively: see Usage notes below.
4. (algebra) Given a chain complex {G_n} and its associated set of homomorphisms {H_n}, the rule which explains how each H_n maps G_n into the kernel of G_n+1.
5. (chemistry) The relationship, between elements, of being in the same group of the periodic table.
6. (organic chemistry) The relationship, between organic compounds, of being in the same homologous series.
7. (biology, psychology) The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin;<br>(evolutionary theory) specifically, a correspondence between structures in separate life forms having a common evolutionary origin, such as that between flippers and hands.
8. (genetics) The presence of the same series of bases in different but related genes.
9. (anthropology) The relationship, between temporally separated human beliefs, practices or artefacts, of possessing shared characteristics attributed to genetic or historical links to a common ancestor.

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