Publication detail

On weak reflections in some superclasses of compact spaces I

KOVÁR, M.

Original Title

On weak reflections in some superclasses of compact spaces I

English Title

On weak reflections in some superclasses of compact spaces I

Type

journal article - other

Language

en

Original Abstract

We characterize and study the weak reflections of general topological spaces in classes that contain the class of compact spaces and that are contained in the class of $\theta$-regular spaces in terms of extensions and remainders. In particular, we show that there is no such a weakly reflective subclass of topological spaces.

English abstract

We characterize and study the weak reflections of general topological spaces in classes that contain the class of compact spaces and that are contained in the class of $\theta$-regular spaces in terms of extensions and remainders. In particular, we show that there is no such a weakly reflective subclass of topological spaces.

Keywords

weak reflection, extensions, remainders, the Wallman compactification, $\theta^n$-operator and other $\theta$-notions, $\theta$-regularity

Released

01.01.2002

ISBN

0146-4124

Periodical

Topology Proceedings

Year of study

25

Number

1

State

US

Pages from

575

Pages to

587

Pages count

13

Documents

BibTex


@article{BUT40136,
  author="Martin {Kovár}",
  title="On weak reflections in some superclasses of compact spaces I",
  annote="We characterize and study the weak reflections of general topological spaces in classes
that contain the class of compact spaces and that are contained in the class
of $\theta$-regular spaces in terms of extensions and remainders. In particular, we show
that there is no such a weakly reflective subclass  of  topological spaces.",
  chapter="40136",
  number="1",
  volume="25",
  year="2002",
  month="january",
  pages="575",
  type="journal article - other"
}