Corpus ID: 219260479

Equivariant coarse (co-)homology theories

@article{Wulff2020EquivariantC,
  title={Equivariant coarse (co-)homology theories},
  author={Christopher Wulff},
  journal={arXiv: Algebraic Topology},
  year={2020}
}
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 with already existing or newly introduced equivariance fit into this setup. Furthermore, a new and more flexible notion of coarse homotopy is given which… Expand
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