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Localization for coarse
homology theories
Ulrich Bunke and Luigi Caputi |
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Vol. 9 (2024), No. 1, 41–88
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Abstract |
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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 -homology and obtain the coarse analog of Segal’s localization theorem. |
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Keywords
coarse homology theory, localization, Bredon style homology
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Mathematical Subject Classification
Primary: 55P91
Secondary: 19E20
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Milestones
Received: 29 December 2022
Revised: 12 March 2024
Accepted: 1 April 2024
Published: 25 May 2024
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Authors |
| Ulrich Bunke | |
| Fakultät für Mathematik Universität Regensburg Regensburg Germany |
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| Luigi Caputi | |
| Department of Mathematics University of Bologna Bologna Italy |
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| © 2024 MSP (Mathematical Sciences Publishers). |
