Balleans of topological groups

• Published in: Український математичний вісник
• Date: 2011
• Main Authors: Hernández, S., Protasov, I.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/124412
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Balleans of topological groups / S. Hernández, I. V. Protasov // Український математичний вісник. — 2011. — Т. 8, № 1. — С. 87-100. — Бібліогр.: 13 назв. — англ.

A subset S of a topological group G is called bounded if, for every neighborhood U of the identity of G, there exists a finite subset F such that S ⊆ FU, S ⊆ UF. The family of all bounded subsets of G determines two structures on G, namely the left and right balleans Bl(G) and Br(G) , which are coun...