Publication detail

Which topological spaces have a weak reflection in compact spaces

KOVÁR, M.

Original Title

Which topological spaces have a weak reflection in compact spaces

Type

journal article - other

Language

English

Original 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

Authors

KOVÁR, M.

Released

1. 1. 1995

ISBN

0010-2628

Periodical

CMUC

Year of study

36

Number

3

State

Czech Republic

Pages from

529

Pages to

536

Pages count

8

BibTex

@{BUT108239
}