Balleans and G-spaces

• Published in: Український математичний журнал
• Date: 2012
• Main Authors: Petrenko, O.V., Protasov, I.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/164148
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Balleans and G-spaces / O.V. Petrenko, I.V. Protasov // Український математичний журнал. — 2012. — Т. 64, № 3. — С. 344-350. — Бібліогр.: 7 назв. — англ.

We show that every ballean (equivalently, coarse structure) on a set X can be determined by some group G of permutations of X and some group ideal I on G. We refine this characterization for some basic classes of balleans (metrizable, cellular, graph, locally finite, and uniformly locally finite). T...