Definition of Cochain. Meaning of Cochain. Synonyms of Cochain

Here you will find one or more explanations in English for the word Cochain. Also in the bottom left of the page several parts of wikipedia pages related to the word Cochain and, of course, Cochain synonyms and on the right images related to the word Cochain.

Definition of Cochain

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Meaning of Cochain from wikipedia

- kernels. A cochain complex is similar to a chain complex, except that its homomorphisms are in the opposite direction. The homology of a cochain complex...
- {F}})} is an abelian group by pointwise addition. The cochain groups can be made into a cochain complex ( C ∙ ( U , F ) , δ ) {\displaystyle (C^{\bullet...
- whole interval which makes the difference quotient a 1 {\displaystyle 1} -cochain. The most common notation for the difference quotient is: Δ f Δ x ( x +...
- homology is an oriented link invariant that arises as the cohomology of a cochain complex. It may be regarded as a categorification of the Jones polynomial...
- In mathematics a cocycle is a closed cochain. Cocycles are used in algebraic topology to express obstructions (for example, to integrating a differential...
- usually one ****ociated with a topological space, often defined from a cochain complex. Cohomology can be viewed as a method of ****igning richer algebraic...
- πn(F)-valued simplicial cochain of degree n + 1 on B, i.e. an element of Cn + 1(B; πn(F)). This cochain is called the obstruction cochain because it being the...
- quasi-isomorphism or quism is a morphism A → B of chain complexes (respectively, cochain complexes) such that the induced morphisms H n ( A ∙ ) → H n ( B ∙ )  ...
- space and G is an R module where R is a ring with unity, then there is a cochain complex C whose p-th term C p {\displaystyle C^{p}} is the set of all functions...
- This is an abelian group; its elements are called the (inhomogeneous) n-cochains. The coboundary homomorphisms are defined by { d n + 1 : C n ( G , M )...