Pseudodiscrete balleans

• Date: 2018
• Main Author: Protasova, O. I.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: ballean; pseudodiscrete ballean; pseudobounded ballean; slowly oscillating function; irresolvable ballean; asymorphism; quasiasymorphism; 03E05; 03E75; 06A11; 54A05,54E15.
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/908
• Journal Title: Algebra and Discrete Mathematics

A ballean \(\mathcal{B}\) is a set \(X\) endowed with some family of subsets of \(X\) which are called the balls. The properties of the balls are postulated in such a way that a ballean can be considered as an asymptotic counterpart of a uniform topological space. A ballean is called pseudodiscrete...