4 citations · 6 across the 14 of their papers we have counts for
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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…
Mal'tsev objects, -spaces and ultrametric spaces
Thomas Weighill
In this paper we introduce a notion of Mal'tsev object, and the dual notion of co-Mal'tsev object, in a general category. In particular, a category is a Mal'tsev categ…
On spaces with connected Higson coronas
Thomas Weighill
In this paper, we characterise metric spaces which have topologically connected Higson coronas. The characterisation is given by a natural categorical condition applied in the coar…