We show that the uniform compactification of a uniform space (X,𝓤) can be considered as a space of filters on X. We apply these filters to study the ℒ𝓤𝓒-compactification of a topological group.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm211-3-3, author = {Tomi Alaste}, title = {U-filters and uniform compactification}, journal = {Studia Mathematica}, volume = {209}, year = {2012}, pages = {215-229}, zbl = {06113314}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm211-3-3} }
Tomi Alaste. 𝓤-filters and uniform compactification. Studia Mathematica, Tome 209 (2012) pp. 215-229. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm211-3-3/