Equivariant Coarse (Co-)Homology Theories

@article{Wulff2022EquivariantC,
  title={Equivariant Coarse (Co-)Homology Theories},
  author={Christopher Wulff},
  journal={Symmetry, Integrability and Geometry: Methods and Applications},
  year={2022}
}
  • Christopher Wulff
  • Published 3 June 2020
  • Mathematics
  • Symmetry, Integrability and Geometry: Methods and Applications
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 well-established coarse (co-)homology theories, whose equivariant versions are either already known or will be introduced in this paper, fit into this setup. Furthermore, a new and more flexible notion… 
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