Publication detail

On the problem of weak reflectines in compact spaces

KOVÁR, M.

Original Title

On the problem of weak reflectines in compact spaces

Type

journal article - other

Language

English

Original 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,

Authors

KOVÁR, M.

RIV year

1996

Released

1. 1. 1996

ISBN

0077-8923

Periodical

Annals of the New York Academy of Sciences,vol 788

Year of study

1996

Number

1

State

United States of America

Pages from

160

Pages to

163

Pages count

4

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,vol 788",
  year="1996",
  volume="1996",
  number="1",
  pages="4",
  issn="0077-8923"
}