𝓤-filters and uniform compactification
Studia Mathematica (2012)
- Volume: 211, Issue: 3, page 215-229
- ISSN: 0039-3223
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topTomi Alaste. "𝓤-filters and uniform compactification." Studia Mathematica 211.3 (2012): 215-229. <http://eudml.org/doc/285426>.
@article{TomiAlaste2012,
abstract = {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.},
author = {Tomi Alaste},
journal = {Studia Mathematica},
keywords = {uniform space; uniformly continuous function; uniform compactification; U -filter; U -ultrafilter; Lu C-compactification},
language = {eng},
number = {3},
pages = {215-229},
title = {𝓤-filters and uniform compactification},
url = {http://eudml.org/doc/285426},
volume = {211},
year = {2012},
}
TY - JOUR
AU - Tomi Alaste
TI - 𝓤-filters and uniform compactification
JO - Studia Mathematica
PY - 2012
VL - 211
IS - 3
SP - 215
EP - 229
AB - 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.
LA - eng
KW - uniform space; uniformly continuous function; uniform compactification; U -filter; U -ultrafilter; Lu C-compactification
UR - http://eudml.org/doc/285426
ER -
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