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Mathematics > General Topology
Title: Set-Theoretical Problems in Asymptology
(Submitted on 4 Apr 2020 (v1), last revised 9 Nov 2021 (this version, v5))
Abstract: In this paper we collect some open set-theoretic problems that appear in the large-scale topology (called also Asymptology). In particular we ask problems about critical cardinalities of some special (large, indiscrete, inseparated) coarse structures on $\omega$, about the interplay between properties of a coarse space and its Higson corona, about some special ultrafilters ($T$-points and cellular $T$-points) related to finitary coarse structures on $\omega$, about partitions of coarse spaces into thin pieces, and also about coarse groups having some extremal properties.
Submission history
From: Taras Banakh [view email][v1] Sat, 4 Apr 2020 17:20:50 GMT (15kb)
[v2] Thu, 16 Apr 2020 06:12:51 GMT (16kb)
[v3] Thu, 7 May 2020 09:13:11 GMT (19kb)
[v4] Sun, 17 Oct 2021 19:25:10 GMT (20kb)
[v5] Tue, 9 Nov 2021 12:58:18 GMT (20kb)
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