Result Details
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.
Type
conference paper
Language
English
Authors
Abstract
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.
Keywords
weak reflection, Wallman compactification,
filter (base), net,
$\theta$-regul\-arity, weak $\left[\omega_1,\infty\right)^r$-refinability,
paracompactness
Published
1994
Pages
1
Proceedings
Tenth Summer Conference on General Topology and Applications
Publisher
Vrije Universiteit Amsterdam
Place
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"
}
Departments