34 citations · 263 across the 42 of their papers we have counts for
8 papers · 1 filter
Split injectivity of A-theoretic assembly maps
Ulrich Bunke, Daniel Kasprowski, Christoph Winges
We construct an equivariant coarse homology theory arising from the algebraic -theory of spherical group rings and use this theory to derive split injectivity results for associ…
Homotopy theory with marked additive categories
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We construct combinatorial model category structures on the categories of (marked) categories and (marked) pre-additive categories, and we characterize (marked) additive categories…
-groups via binary complexes of fixed length
Daniel Kasprowski, Bernhard Köck, Christoph Winges
We modify Grayson's model of of an exact category to give a presentation whose generators are binary acyclic complexes of length at most for any given . As a cor…
Coarse embeddings into products of trees
Daniel Kasprowski
We give a short and elementary proof of the fact that every metric space of finite asymptotic dimension can be embedded into a finite product of trees.
Transfers in coarse homology
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We enlarge the category of bornological coarse spaces by adding transfer morphisms and introduce the notion of an equivariant coarse homology theory with transfers. We then show th…
Injectivity results for coarse homology theories
Ulrich Bunke, Alexander Engel, Daniel Kasprowski +1
We show injectivity results for assembly maps using equivariant coarse homology theories with transfers. Our method is based on the descent principle and applies to a large class o…
Algebraic K-theory of stable -categories via binary complexes
Daniel Kasprowski, Christoph Winges
We adapt Grayson's model of higher algebraic -theory using binary acyclic complexes to the setting of stable -categories. As an application, we prove that the -theory…
Four-manifolds up to connected sum with complex projective planes
Daniel Kasprowski, Mark Powell, Peter Teichner
We show that closed, connected 4-manifolds up to connected sum with copies of the complex projective plane are classified in terms of the fundamental group, the orientation charact…