Balleans of bounded geometry and G-spaces

• Published in: Algebra and Discrete Mathematics
• Date: 2008
• Main Author: Protasov, I.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2008
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153361
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Balleans of bounded geometry and G-spaces / I.V. Protasov // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 2. — С. 101–108. — Бібліогр.: 8 назв. — англ.

A ballean (or a coarse structure) is a set endowed with some family of subsets which are called the balls. The properties of the family of balls are postulated in such a way that a ballean can be considered as an asymptotical counterpart of a uniform topological space.
 
 We prove th...