17 citations · 88 across the 31 of their papers we have counts for
5 papers · 1 filter
Matrix algebra of sets and variants of decomposition complexity
Jerzy Dydak
We introduce matrix algebra of subsets in metric spaces and we apply it to improve results of Yamauchi and Davila regarding Asymptotic Property C. Here is a representative result:…
Decomposition complexity with respect to coarse properties
Jerzy Dydak
We formalize the concept of a family of metric spaces satisfying a coarse property uniformly and we generalize finite decomposition complexity of Erik Guentner, Romain Tessera, and…
Extension theorems for large scale spaces via coarse neighbourhoods
Jerzy Dydak, Thomas Weighill
We introduce the notion of (hybrid) large scale normal space and prove coarse geometric analogues of Urysohn's Lemma and the Tietze Extension Theorem for these spaces, where contin…
Monotone-light factorizations in coarse geometry
Jerzy Dydak, Thomas Weighill
We introduce large scale analogues of topological monotone and light maps, which we call coarsely monotone and coarsely light maps respectively. We show that these two classes of m…
Scale Structures and C*-algebras
Kyle Austin, Jerzy Dydak, Michael Holloway
The purpose of this paper is to investigate the duality between large scale and small scale. It is done by creating a connection between C*-algebras and scale structures. In the co…