Result Details

On weak reflections in some superclasses of compact spaces I

KOVÁR, M. On weak reflections in some superclasses of compact spaces I. Topology Proceedings, 2002, vol. 25, no. 1, 13 p. ISSN: 0146-4124.

Type

journal article

Language

English

Authors

Kovár Martin, doc. RNDr., Ph.D.

Abstract

We characterize and study the weak reflections of general topological spaces in classes
that contain the class of compact spaces and that are contained in the class
of $\theta$-regular spaces in terms of extensions and remainders. In particular, we show
that there is no such a weakly reflective subclass of topological spaces.

Keywords

weak reflection, extensions, remainders, the Wallman compactification, $\theta^n$-operator and
other $\theta$-notions, $\theta$-regularity

Published

2002

Pages

Journal

Topology Proceedings, vol. 25, no. 1, ISSN 0146-4124

BibTeX

@article{BUT40136,
  author="Martin {Kovár}",
  title="On weak reflections in some superclasses of compact spaces I",
  journal="Topology Proceedings",
  year="2002",
  volume="25",
  number="1",
  pages="13",
  issn="0146-4124"
}

Departments

Department of Mathematics (UMAT)