2020/04/04 by Тарас Банах, Banakh, Taras, Ігор Протасов +1
Mathematics · #03E75 #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Logic (math.LO) #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.2004.01979
openalex publication_date 2020/04/04 · openalex created_date 2020/04/10 · openalex updated_date 2026/07/28
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 ω, 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 ω, about partitions of coarse spaces into thin pieces, and also about coarse groups having some extremal properties.