The Alexander trick for homology spheres
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866916467801325568 |
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| author | Galatius, Soren Randal-Williams, Oscar |
| author_facet | Galatius, Soren Randal-Williams, Oscar |
| contents | We show that the group of homeomorphisms of a compact contractible $d$-manifold which fix the boundary is contractible, as long as $d \geq 6$. We deduce this from a strong uniqueness statement for one-sided $h$-cobordisms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15607 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The Alexander trick for homology spheres Galatius, Soren Randal-Williams, Oscar Geometric Topology Algebraic Topology 57S05, 58D05, 57N65 We show that the group of homeomorphisms of a compact contractible $d$-manifold which fix the boundary is contractible, as long as $d \geq 6$. We deduce this from a strong uniqueness statement for one-sided $h$-cobordisms. |
| title | The Alexander trick for homology spheres |
| topic | Geometric Topology Algebraic Topology 57S05, 58D05, 57N65 |
| url | https://arxiv.org/abs/2308.15607 |