Which topological spaces have a weak reflection in compact spaces?
Commentationes Mathematicae Universitatis Carolinae (1995)
- Volume: 36, Issue: 3, page 529-536
- ISSN: 0010-2628
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topKovár, Martin Maria. "Which topological spaces have a weak reflection in compact spaces?." Commentationes Mathematicae Universitatis Carolinae 36.3 (1995): 529-536. <http://eudml.org/doc/247727>.
@article{Kovár1995,
abstract = {The problem, whether every topological space has a weak compact reflection, was answered by M. Hušek in the negative. Assuming normality, M. Hušek fully characterized the spaces having a weak reflection in compact spaces as the spaces with the finite Wallman remainder. In this paper we prove that the assumption of normality may be omitted. On the other hand, we show that some covering properties kill the weak reflectivity of a noncompact topological space in compact spaces.},
author = {Kovár, Martin Maria},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weak reflection; Wallman compactification; filter (base); net; $\theta $-regularity; weak $\left[\omega _1, \infty \right)^r$-refinability},
language = {eng},
number = {3},
pages = {529-536},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Which topological spaces have a weak reflection in compact spaces?},
url = {http://eudml.org/doc/247727},
volume = {36},
year = {1995},
}
TY - JOUR
AU - Kovár, Martin Maria
TI - Which topological spaces have a weak reflection in compact spaces?
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 3
SP - 529
EP - 536
AB - The problem, whether every topological space has a weak compact reflection, was answered by M. Hušek in the negative. Assuming normality, M. Hušek fully characterized the spaces having a weak reflection in compact spaces as the spaces with the finite Wallman remainder. In this paper we prove that the assumption of normality may be omitted. On the other hand, we show that some covering properties kill the weak reflectivity of a noncompact topological space in compact spaces.
LA - eng
KW - weak reflection; Wallman compactification; filter (base); net; $\theta $-regularity; weak $\left[\omega _1, \infty \right)^r$-refinability
UR - http://eudml.org/doc/247727
ER -
References
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