Localization for coarse homology theories
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866916262930546688 |
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| author | Bunke, Ulrich Caputi, Luigi |
| author_facet | Bunke, Ulrich Caputi, Luigi |
| contents | We introduce the notion of a Bredon-style equivariant coarse homology theory. We show that such a Bredon-style equivariant coarse homology theory satisfies localization theorems and that a general equivariant coarse homology theory can be approximated by a Bredon-style version. We discuss the special case of algebraic and topological equivariant coarse $K$-homology and obtain the coarse analog of Segal's localization theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1902_04947 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Localization for coarse homology theories Bunke, Ulrich Caputi, Luigi K-Theory and Homology Algebraic Topology Metric Geometry We introduce the notion of a Bredon-style equivariant coarse homology theory. We show that such a Bredon-style equivariant coarse homology theory satisfies localization theorems and that a general equivariant coarse homology theory can be approximated by a Bredon-style version. We discuss the special case of algebraic and topological equivariant coarse $K$-homology and obtain the coarse analog of Segal's localization theorem. |
| title | Localization for coarse homology theories |
| topic | K-Theory and Homology Algebraic Topology Metric Geometry |
| url | https://arxiv.org/abs/1902.04947 |