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math.MG2016
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…
math.MG2016
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…