Detail publikačního výsledku

On the Weak Reflection Property

KOVÁR, M.

Originální název

On the Weak Reflection Property

Anglický název

On the Weak Reflection Property

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální 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.

Anglický 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

Klíčová slova v angličtině

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

Autoři

KOVÁR, M.

Vydáno

01.01.1994

Nakladatel

Vrije Universiteit Amsterdam

Místo

Amsterdam

Kniha

Tenth Summer Conference on General Topology and Applications

Strany od

95

Strany počet

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"
}