Balleans of bounded geometry and G-spaces

• Date: 2018
• Main Author: Protasov, Igor V.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: ballean; coarse equivalence; G-space; 37B05; 54E15
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1076
• Journal Title: Algebra and Discrete Mathematics

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 that every ballean of...