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Localization for coarse homology theories (1902.04947v5)

Published 13 Feb 2019 in math.KT, math.AT, and math.MG

Abstract: 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.

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