再论同调幂等式的分裂

arXiv - MATH - Geometric Topology Pub Date : 2024-08-05 DOI:arxiv-2408.02785

Jerzy Dydak

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引用次数: 0

摘要

我们将介绍与同调empotents相关的基本结果的证明，这些证明非常简单，甚至连作者都能理解。第一个证明是有指向的连通 CW 复合物范畴中的同调empotents分裂，第二个证明是有限维 CW 复合物范畴中的无指向同调empotents分裂。

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Splitting of homotopy idempotents revisited

We are presenting proofs of fundamental results related to homotopy idempotents, proofs that are sufficiently simple so that even the author can understand them. The first one is that homotopy idempotents in the category of pointed connected CW complexes split and the second one is that unpointed homotopy idempotents in the category of finite-dimensional CW complexes split. Some of our proofs rectify gaps in the existing literature.

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arXiv - MATH - Geometric Topology

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