Geodesic
$\mathcal{U}$-filters and uniform compactification
Tomi Alaste1
1 University of Oulu, PL 3000 Department of Mathematical Sciences FI-90014 Oulun yliopisto, Finland
Studia Mathematica, Tome 211 (2012) no. 3, pp. 215-229

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm211-3-3
Keywords: uniform compactification uniform space mathcal considered space filters apply these filters study mathcal luc compactification topological group

Tomi Alaste 1

1 University of Oulu, PL 3000 Department of Mathematical Sciences FI-90014 Oulun yliopisto, Finland 
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Tomi Alaste. $\mathcal{U}$-filters and uniform compactification. Studia Mathematica, Tome 211 (2012) no. 3, pp. 215-229. doi: 10.4064/sm211-3-3

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