Functional Boundedness of Balleans: Coarse Versions of Compactness

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 o...

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Bibliographic Details
Main Authors: Taras Banakh, Igor Protasov
Format: Article
Language:English
Published: MDPI AG 2019-03-01
Series:Axioms
Subjects:
Online Access:http://www.mdpi.com/2075-1680/8/1/33