On weak reflections in some superclasses of compact spaces I

journal article - other

English

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.

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

KOVÁR, M.

1. 1. 2002

0146-4124

Topology Proceedings

25

1

United States of America

575

587

13