Splitting of homotopy idempotents revisited
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909286921142272 |
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| author | Dydak, Jerzy |
| author_facet | Dydak, Jerzy |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_02785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Splitting of homotopy idempotents revisited Dydak, Jerzy Geometric Topology Algebraic Topology Primary 55P65, Secondary 55P55, 55U35 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. |
| title | Splitting of homotopy idempotents revisited |
| topic | Geometric Topology Algebraic Topology Primary 55P65, Secondary 55P55, 55U35 |
| url | https://arxiv.org/abs/2408.02785 |