Detail publikačního výsledku

On the problem of weak reflectines in compact spaces

KOVÁR, M.

Originální název

On the problem of weak reflectines in compact spaces

Anglický název

On the problem of weak reflectines in compact spaces

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

KOVÁR, M.

Vydáno

01.01.1996

ISSN

0077-8923

Periodikum

ANNALS OF THE NEW YORK ACADEMY OF SCIENCES

Svazek

1996

Číslo

1

Stát

Spojené státy americké

Strany od

160

Strany počet

4

Plný text v Digitální knihovně

http://hdl.handle.net/

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"
}