Detail publikace

Which topological spaces have a weak reflection in compact spaces

KOVÁR, M.

Originální název

Which topological spaces have a weak reflection in compact spaces

Anglický název

Which topological spaces have a weak reflection in compact spaces

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Dokumenty

BibTex


@article{BUT40080,
  author="Martin {Kovár}",
  title="Which topological spaces have a weak reflection in compact spaces",
  annote="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.
",
  chapter="40080",
  number="3",
  volume="36",
  year="1995",
  month="january",
  pages="529",
  type="journal article - other"
}