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On the Weak Reflection Property

KOVÁR, M. On the Weak Reflection Property. In Tenth Summer Conference on General Topology and Applications. Amsterdam: Vrije Universiteit Amsterdam, 1994. 1 p.
Typ
článek ve sborníku konference
Jazyk
anglicky
Autoři
Abstrakt

The problem, initially due to J. Rosick\' y and J. Ad\'amek,
was partially solved by M. Hu\v sek. Assuming normality, M.
Hu\v sek fully characterized the investigated spaces as spaces with a
finite Wallman remainder. In this paper we prove that the assumption of
normality may be omitted. On the other hand, we show that paracompactness and
some other covering properties kill the weak reflectivity of a noncompact
topological space in compact spaces.

Klíčová slova

weak reflection, Wallman compactification,
filter (base), net,
$\theta$-regul\-arity, weak $\left[\omega_1,\infty\right)^r$-refinability,
paracompactness

Rok
1994
Strany
1
Sborník
Tenth Summer Conference on General Topology and Applications
Vydavatel
Vrije Universiteit Amsterdam
Místo
Amsterdam
BibTeX
@inproceedings{BUT1088,
  author="Martin {Kovár}",
  title="On the Weak Reflection Property",
  booktitle="Tenth Summer Conference on General Topology and Applications",
  year="1994",
  pages="1",
  publisher="Vrije Universiteit Amsterdam",
  address="Amsterdam"
}
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