68 citations · 265 across the 25 of their papers we have counts for
7 papers · 1 filter
Coarse homology theories and finite decomposition complexity
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
Using the language of coarse homology theories, we provide an axiomatic account of vanishing results for the fibres of forget-control maps associated to spaces with equivariant fin…
Coarse cohomology theories
Ulrich Bunke, Alexander Engel
We propose the notion of a coarse cohomology theory and study the examples of coarse ordinary cohomology, coarse stable cohomotopy and of coarse cohomology theories obtained by dua…
Coronas for properly combable spaces
Alexander Engel, Christopher Wulff
This paper is a systematic approach to the construction of coronas (i.e. Higson dominated boundaries at infinity) of combable spaces. We introduce three additional properties for c…
Equivariant coarse homotopy theory and coarse algebraic -homology
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We study equivariant coarse homology theories through an axiomatic framework. To this end we introduce the category of equivariant bornological coarse spaces and construct the univ…
The coarse index class with support
Ulrich Bunke, Alexander Engel
We construct the coarse index class with support condition (as an element of coarse -homology) of an equivariant Dirac operator on a complete Riemannian manifold endowed with a…
Coarse assembly maps
Ulrich Bunke, Alexander Engel
For every strong coarse homology theory we construct a coarse assembly map as a natural transformation between coarse homology theories. We provide various conditions implying that…