- homology dimension
- гомологическая размерность
English-Russian scientific dictionary. 2008.
homology dimension
Смотреть что такое "homology dimension" в других словарях:
Homology theory — In mathematics, homology theory is the axiomatic study of the intuitive geometric idea of homology of cycles on topological spaces. It can be broadly defined as the study of homology theories on topological spaces. Simple explanation At the… … Wikipedia
homology — /heuh mol euh jee, hoh /, n., pl. homologies. 1. the state of being homologous; homologous relation or correspondence. 2. Biol. a. a fundamental similarity based on common descent. b. a structural similarity of two segments of one animal based on … Universalium
Homology (mathematics) — In mathematics (especially algebraic topology and abstract algebra), homology (in Greek ὁμός homos identical ) is a certain general procedure to associate a sequence of abelian groups or modules with a given mathematical object such as a… … Wikipedia
Homology manifold — In mathematics, a homology manifold (or generalized manifold)is a locally compact topological space X that looks locally like a topological manifold from the point of view of homology theory.DefinitionA homology G manifold (without boundary) of… … Wikipedia
Homology sphere — In algebraic topology, a homology sphere is an n manifold X having the homology groups of an n sphere, for some integer n ≥ 1. That is, we have: H 0( X ,Z) = Z = H n ( X ,Z)and : H i ( X ,Z) = {0} for all other i .Therefore X is a connected space … Wikipedia
homology sphere — noun A manifold whose homology is the same as that of some sphere of the same dimension … Wiktionary
Intersection homology — In topology, a branch of mathematics, intersection homology is an analogue of singular homology especially well suited for the study of singular spaces, discovered by Mark Goresky and Robert MacPherson in the fall of 1974 and developed by them… … Wikipedia
Floer homology — is a mathematical tool used in the study of symplectic geometry and low dimensional topology. First introduced by Andreas Floer in his proof of the Arnold conjecture in symplectic geometry, Floer homology is a novel homology theory arising as an… … Wikipedia
Khovanov homology — In mathematics, Khovanov homology is a homology theory for knots and links. It may be regarded as a categorification of the Jones polynomial. It was developed in the late 1990s by Mikhail Khovanov, then at the University of California, Davis, now … Wikipedia
Morse homology — In mathematics, specifically in the field of differential topology, Morse homology is a homology theory defined for any smooth manifold. It is constructed using the smooth structure and an auxiliary metric on the manifold, but turns out to be… … Wikipedia
Borel-Moore homology — In mathematics, Borel Moore homology or homology with closed support is a homology theory for locally compact spaces. For compact spaces, the Borel Moore homology coincide with the usual singular homology, but for non compact spaces, it usually… … Wikipedia
