Detail publikace

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

Jazyk

en

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.

Dokumenty

BibTex


@article{BUT38266,
  author="Martin {Kovár}",
  title="On the problem of weak reflectines in compact spaces",
  annote="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.
",
  chapter="38266",
  journal="Annals of the New York Academy of Sciences,vol 788",
  number="1",
  volume="1996",
  year="1996",
  month="january",
  pages="160",
  type="journal article - other"
}