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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
RIV year
1996
Released
1. 1. 1996
ISBN
0077-8923
Periodical
Annals of the New York Academy of Sciences,vol 788
Year of study
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" }