16 citations · 37 across the 8 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.GN2019★ 2 cited
Coproducts of proximity spaces
Pawel Grzegrzolka
In this paper, we introduce coproducts of proximity spaces. After exploring several of their basic properties, we show that given a collection of proximity spaces, the coproduct of…
math.GN2019
Inductive dimensions of coarse proximity spaces
Pawel Grzegrzolka, Jeremy Siegert
In this paper, we generalize Dranishnikov's asymptotic inductive dimension to the setting of coarse proximity spaces. We show that in this more general context, the asymptotic indu…
math.GN2019
Some counterexamples in abstract coarse geometry
Pawel Grzegrzolka, Jeremy Siegert
We construct an example of a coarse proximity space that is not induced by any coarse structure. We then show how to "stitch" two coarse proximity spaces with homeomorphic boundari…