代数同调类

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-05-28 DOI:10.1016/j.matpur.2024.05.011

Juliusz Banecki

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引用次数: 0

摘要

我们用正则映射证明了一些关于球和代数群同调类表示的积极结果。最重要的是，我们证明了球面在正交或单元群中的每个应用都与正则应用同构。此外，我们还证明了球的代数同调类构成同调群的一个子群，而且类似的结果也适用于任意品种的同调群。

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Algebraic homotopy classes

We prove several positive results regarding representation of homotopy classes of spheres and algebraic groups by regular mappings. Most importantly we show that every mapping from a sphere to an orthogonal or a unitary group is homotopic to a regular one. Furthermore we prove that algebraic homotopy classes of spheres form a subgroup of the homotopy group, and that a similar result holds also for cohomotopy groups of arbitrary varieties.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464