Result Details

Which topological spaces have a weak reflection in compact spaces

KOVÁR, M. Which topological spaces have a weak reflection in compact spaces. Commentationes Mathematicae Universitatis Carolinae, 1995, vol. 36, no. 3, 8 p. ISSN: 0010-2628.

Type

journal article

Language

English

Authors

Kovár Martin, doc. RNDr., Ph.D.

Abstract

The problem, whether every topological space has a weak compact reflection,
was answered by M. Hu\v sek in the negative. Assuming normality, M. Hu\v sek
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.

Keywords

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

Published

1995

Pages

Journal

Commentationes Mathematicae Universitatis Carolinae, vol. 36, no. 3, ISSN 0010-2628

BibTeX

@article{BUT40080,
  author="Martin {Kovár}",
  title="Which topological spaces have a weak reflection in compact spaces",
  journal="Commentationes Mathematicae Universitatis Carolinae",
  year="1995",
  volume="36",
  number="3",
  pages="8",
  issn="0010-2628"
}

Departments

Department of Mathematics (UMAT)