16 citations · 30 across the 13 of their papers we have counts for
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math.GN2018★ 4 cited
Boundaries of coarse proximity spaces and boundaries of compactifications
Pawel Grzegrzolka, Jeremy Siegert
In this paper, we introduce the boundary of a coarse proximity space This boundary is a subset of the boundary of a certain Smirnov compac…
math.GN2018★ 5 cited
Normality conditions of structures in coarse geometry and an alternative description of coarse proximities
Pawel Grzegrzolka, Jeremy Siegert
We introduce an alternative description of coarse proximities. We define a coarse normality condition for connected coarse spaces and show that this definition agrees with large sc…
math.MG2018★ 16 cited
Coarse Proximity and Proximity at Infinity
Pawel Grzegrzolka, Jeremy Siegert
We define coarse proximity structures, which are an analog of small-scale proximity spaces in the large-scale context. We show that metric spaces induce coarse proximity structures…