Equivariant Coarse (Co-)Homology Theories

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Author: Wulff, Christopher
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211730
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Equivariant Coarse (Co-)Homology Theories. Christopher Wulff. SIGMA 18 (2022), 057, 62 pages

We present an Eilenberg-Steenrod-like axiomatic framework for equivariant coarse homology and cohomology theories. We also discuss a general construction of such coarse theories from topological ones and the associated transgression maps. A large part of this paper is devoted to showing how some wel...