$\mathcal{U}$-filters and uniform compactification
Volume 211 / 2012
Studia Mathematica 211 (2012), 215-229
MSC: Primary 54D35; Secondary 54E15.
DOI: 10.4064/sm211-3-3
Abstract
We show that the uniform compactification of a uniform space $(X,\mathcal{U})$ can be considered as a space of filters on $X$. We apply these filters to study the $\mathcal{LUC}$-compactification of a topological group.
