68 citations · 265 across the 25 of their papers we have counts for
4 papers · 2 filters
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…
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…
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…
Banach strong Novikov conjecture for polynomially contractible groups
Alexander Engel
We prove the Banach strong Novikov conjecture for groups having polynomially bounded higher-order combinatorial functions. This includes all automatic groups.