# 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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