Publication detail

On the Weak Reflection Property

KOVÁR, M.

Original Title

On the Weak Reflection Property

Type

conference paper

Language

English

Original 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

Authors

KOVÁR, M.

RIV year

1994

Released

1. 1. 1994

Publisher

Vrije Universiteit Amsterdam

Location

Amsterdam

Pages from

95

Pages to

95

Pages count

1

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"
}