Abstract
We survey some results and pose some open problems related to boundedness of real-valued functions on balleans and coarse spaces. Special attention is paid to balleans on groups. The boundedness of functions that respect the coarse structure of a ballean could be considered as a coarse counterpart of pseudo-compactness.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference24 articles.
1. Metric Geometry of Locally Compact Groups;Cornulier,2016
2. Topics in Geometric Group Theory;De la Harpe,2000
3. On the Higson-Roe corona
4. Coronas of balleans
5. General Asymptology;Protasov,2007
Cited by
3 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Closeness and linkness in balleans;Matematychni Studii;2020-03-17
2. On balanced coronas of groups;Topology and its Applications;2019-09
3. On the space of ends of infinitely generated groups;Topology and its Applications;2019-08