Complements of locally flat submanifolds are finite CW complexes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911771450671104 |
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| author | Ho, Andrew |
| author_facet | Ho, Andrew |
| contents | We show that if $Y$ is a compact topological manifold and $X$ is a locally flat submanifold, then the complement $Y - X$ is homotopy equivalent to a finite CW complex. This is a direct proof, and does not rely on much of the theory of topological manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03546 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complements of locally flat submanifolds are finite CW complexes Ho, Andrew Geometric Topology Algebraic Topology 57N45, 57Q12 We show that if $Y$ is a compact topological manifold and $X$ is a locally flat submanifold, then the complement $Y - X$ is homotopy equivalent to a finite CW complex. This is a direct proof, and does not rely on much of the theory of topological manifolds. |
| title | Complements of locally flat submanifolds are finite CW complexes |
| topic | Geometric Topology Algebraic Topology 57N45, 57Q12 |
| url | https://arxiv.org/abs/2402.03546 |