homology

中文： 同调、同调论、同调群

1. specifically, such relationship in the context of the geometry of perspective. (countable, uncountable)
2. 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. (countable, uncountable)
3. 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. (countable, uncountable)
4. Given a chain complex {Gₙ} and its associated set of homomorphisms {Hₙ}, the rule which explains how each Hₙ maps Gₙ into the kernel of Gₙ₊₁. (countable, uncountable) · Because of their connection with both homology and cohomology, chain complexes are an important topic of study in homological algebra.
5. The relationship, between elements, of being in the same group of the periodic table. (countable, uncountable)
6. The relationship, between organic compounds, of being in the same homologous series. (countable, uncountable)
7. The relationship, between characteristics or behaviours, of having a shared evolutionary or developmental origin; (countable, uncountable)
8. specifically, a correspondence between structures in separate life forms having a common evolutionary origin, such as that between mammalian flippers and hands. (countable, uncountable)

复数 homologies