homology object

homology object
мат.
объект гомологии

English-Russian scientific dictionary. 2008.

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  • Homology — may refer to:* Homology (anthropology), analogy between human beliefs, practices or artifacts due to genetic or historical connections. * Homology (biology): similar structures due to shared ancestry. * Homology (chemistry): a compound of a… …   Wikipedia

  • 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 — /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

  • 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

  • Cyclic homology — In homological algebra, cyclic homology and cyclic cohomology are (co)homology theories for associative algebras introduced by Alain Connes around 1980, which play an important role in his noncommutative geometry. They were independently… …   Wikipedia

  • Hochschild homology — In mathematics, Hochschild homology is a homology theory for associative algebras over rings. There is also a theory for Hochschild homology of certain functors. Definition of Hochschild homology of algebras Let k be a ring, A an associative k… …   Wikipedia

  • Spectral sequence — In the area of mathematics known as homological algebra, especially in algebraic topology and group cohomology, a spectral sequence is a means of computing homology groups by taking successive approximations. Spectral sequences are a… …   Wikipedia

  • mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

  • evolution — evolutional, adj. evolutionally, adv. /ev euh looh sheuhn/ or, esp. Brit., /ee veuh /, n. 1. any process of formation or growth; development: the evolution of a language; the evolution of the airplane. 2. a product of such development; something… …   Universalium

  • Natural transformation — This article is about natural transformations in category theory. For the natural competence of bacteria to take up foreign DNA, see Transformation (genetics). In category theory, a branch of mathematics, a natural transformation provides a way… …   Wikipedia

  • Model category — In mathematics, particularly in homotopy theory, a model category is a category with distinguished classes of morphisms ( arrows ) called weak equivalences , fibrations and cofibrations . These abstract from a conventional homotopy category, of… …   Wikipedia


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