About remainders in compactifications of homogeneous spaces
Commentationes Mathematicae Universitatis Carolinae (2009)
- Volume: 50, Issue: 4, page 607-613
- ISSN: 0010-2628
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topBasile, D., and Bella, Angelo. "About remainders in compactifications of homogeneous spaces." Commentationes Mathematicae Universitatis Carolinae 50.4 (2009): 607-613. <http://eudml.org/doc/35134>.
@article{Basile2009,
abstract = {We prove a dichotomy theorem for remainders in compactifications of homogeneous spaces: given a homogeneous space $X$, every remainder of $X$ is either realcompact and meager or Baire. In addition we show that two other recent dichotomy theorems for remainders of topological groups due to Arhangel’skii cannot be extended to homogeneous spaces.},
author = {Basile, D., Bella, Angelo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {remainders in compactifications; homogeneous spaces; compactification; homogeneous space},
language = {eng},
number = {4},
pages = {607-613},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {About remainders in compactifications of homogeneous spaces},
url = {http://eudml.org/doc/35134},
volume = {50},
year = {2009},
}
TY - JOUR
AU - Basile, D.
AU - Bella, Angelo
TI - About remainders in compactifications of homogeneous spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2009
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 50
IS - 4
SP - 607
EP - 613
AB - We prove a dichotomy theorem for remainders in compactifications of homogeneous spaces: given a homogeneous space $X$, every remainder of $X$ is either realcompact and meager or Baire. In addition we show that two other recent dichotomy theorems for remainders of topological groups due to Arhangel’skii cannot be extended to homogeneous spaces.
LA - eng
KW - remainders in compactifications; homogeneous spaces; compactification; homogeneous space
UR - http://eudml.org/doc/35134
ER -
References
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