cohomology operation

cohomology operation
мат. когомологическая операция

Большой англо-русский и русско-английский словарь. 2001.

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  • Cohomology operation — In mathematics, the cohomology operation concept became central to algebraic topology, particularly homotopy theory, from the 1950s onwards, in the shape of the simple definition that if F is a functor defining a cohomology theory, then a… …   Wikipedia

  • Adams operation — In mathematics, an Adams operation:ψ k is a cohomology operation in topological K theory, or any allied operation in algebraic K theory or other types of algebraic construction, defined on a pattern introduced by Frank Adams. The basic idea is to …   Wikipedia

  • Cup product — In mathematics, specifically in algebraic topology, the cup product is a method of adjoining two cocycles of degree p and q to form a composite cocycle of degree p + q. This defines an associative (and distributive) graded commutative product… …   Wikipedia

  • Steenrod algebra — In algebraic topology, a branch of mathematics, the Steenrod algebra is a structure occurring in the theory of cohomology operations. It is an object of great importance, most especially to homotopy theorists. More precisely, for a given prime… …   Wikipedia

  • Massey product — The Massey product is an algebraic generalization of the phenomenon of Borromean rings. In algebraic topology, the Massey product is a cohomology operation of higher order introduced in (Massey 1958), which generalizes the cup product …   Wikipedia

  • List of algebraic topology topics — This is a list of algebraic topology topics, by Wikipedia page. See also: topology glossary List of topology topics List of general topology topics List of geometric topology topics Publications in topology Topological property Contents 1… …   Wikipedia

  • Thom space — In mathematics, the Thom space or Thom complex (named after René Thom) of algebraic topology and differential topology is a topological space associated to a vector bundle, over any paracompact space. One way to construct this space is as follows …   Wikipedia

  • Frank Adams — otherpeople2|Francis Adams John Frank Adams (November 5, 1930 ndash; January 7, 1989) was a British mathematician, one of the founders of homotopy theory.LifeHe was born in Woolwich, a suburb in south east London. He began research as a student… …   Wikipedia

  • Eilenberg-MacLane space — In mathematics, an Eilenberg MacLane space is a special kind of topological space that can be regarded as a building block for homotopy theory. These spaces are important in many contexts in algebraic topology, including stage by stage… …   Wikipedia

  • List of mathematics articles (C) — NOTOC C C closed subgroup C minimal theory C normal subgroup C number C semiring C space C symmetry C* algebra C0 semigroup CA group Cabal (set theory) Cabibbo Kobayashi Maskawa matrix Cabinet projection Cable knot Cabri Geometry Cabtaxi number… …   Wikipedia

  • Henri Cartan — Infobox Person name = Henri Cartan image size = 250px caption = birth date = birth date|1904|7|8 birth place = Nancy, France death date = death date and age|2008|8|13|1904|7|8 death place = Paris, France nationality = FRA known for = Algebraic… …   Wikipedia


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