Result Details

On the problem of weak reflectines in compact spaces

KOVÁR, M. On the problem of weak reflectines in compact spaces. ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1996, vol. 1996, no. 1, 4 p. ISSN: 0077-8923.

Type

journal article

Language

English

Authors

Kovár Martin, doc. RNDr., Ph.D.

Abstract

In this paper we present, among others, an improvement of Hu\v sek's characterizeation
of the spaces with the weak compact reflection. Our main results are
as follows: A topological space has a weak reflection in compact spaces if{}f the Wallman
remainder is finite. If a $\theta$-regular or $T_1$ space has a weak compact
reflection, then the space is countably compact. A noncompact $\theta$-regular
or $T_1$ space which is weakly $\left[\omega_1,\infty\right)^r$-refinable, has
no weak reflection in compact spaces.

Keywords

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

Published

1996

Pages

Journal

ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, vol. 1996, no. 1, ISSN 0077-8923

BibTeX

@article{BUT38266,
  author="Martin {Kovár}",
  title="On the problem of weak reflectines in compact spaces",
  journal="ANNALS OF THE NEW YORK ACADEMY OF SCIENCES",
  year="1996",
  volume="1996",
  number="1",
  pages="4",
  issn="0077-8923"
}

Departments

Department of Mathematics (UMAT)
Faculty of Electrical Engineering and Communication (FEEC)