%0 Journal Article %T Functional Boundedness of Balleans: Coarse Versions of Compactness %A Igor Protasov %A Taras Banakh %J - %D 2019 %R https://doi.org/10.3390/axioms8010033 %X 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. View Full-Tex %K coarse structure %K ballean %K group %K real-valued function %K boundedness %U https://www.mdpi.com/2075-1680/8/1/33