Open AccessMaximal balleans
Author(s) -
Olga I. Protasova
Publication year - 2006
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2006.1920
Subject(s) - mathematics , morphism , topological space , set (abstract data type) , pure mathematics , topology (electrical circuits) , combinatorics , discrete mathematics , computer science , programming language
A ballean is a set X endowed with some family of subsets of X which are called the balls. We postulate the properties of the family of balls in such a way that the balleans with the appropriate morphisms can be considered as the asymptotic counterparts of the uniform topological spaces. The purpose of the paper is to find and study the asymptotic counterparts for maximal topological spaces and maximal topological groups