16 июл. 2021 г. · A chain homotopy is a homotopy in a category of chain complexes with respect to the standard interval object in chain complexes. Sometimes a ...

The homotopy category K(A) of chain complexes in an additive category A is a framework for working with chain homotopies and homotopy equivalences.

30 сент. 2015 г. · Chain homotopies are a concept which originates from topology, where the complexes at hand are usually motivated by a decomposition of a ... chain homotopy equivalence and quasi-isomorphism Chain homotopy definition - algebraic topology Другие результаты с сайта math.stackexchange.com

24 июн. 2022 г. · In this post, we'll talk about two ways of looking at chain homotopies that make them feel more like their topological namesake.

In mathematics, a chain complex is an algebraic structure that consists of a sequence of abelian groups (or modules) and a sequence of homomorphisms between ...

15 дек. 2009 г. · In this theorem, the definition of homotopy is that f=du+ud. So my answer to your question is: In practice, if a map induces the zero map on ... Why chain homotopy when there is no topology in the ... Does homology detect chain homotopy equivalence? A 2-category of chain complexes, chain maps ... - MathOverflow A chain homotopy that does not arise from a ... - MathOverflow Другие результаты с сайта mathoverflow.net

17 янв. 2019 г. · The category K ( A ) \mathcal{K}(\mathcal{A}) is sometimes called the “homotopy category of chain complexes”.

Chain homotopies are standard constructions in homological algebra: given chain complexes C and D and chain maps, say with differential of degree − 1, a chain ...

11 окт. 2018 г. · The homology of a chain complex only depends on the homotopy type of the complex. So let us define homotopies between chain maps: Definition: ...

Продолжительность: 6:58
Опубликовано: 18 мар. 2020 г.