Nearly Metacompact Spaces
by
Elise M. Grabner
Slippery Rock University
Coauthors: Gary C. Grabner

A topological space X is said to be nearly metacompact provided every open cover of X has an open refinement that is point finite on some dense subset of X [HL]. We will discuss some properties of nearly metacompact spaces.

Theorem. A space X is nearly metacompact if and only if every monotone open cover of X has an open refinement point finite on some dense subset of X.

Theorem. Every nearly metacompact lob-space is meta-Lindelöf.

Theorem. Every space can be embedded as a closed subspace of a nearly metacompact space.

[HL] R. Heath and W. Lindgren, On generating non-orthocompact spaces, Set-Theoretic Topology, Academic Press, 1977, 225-237.

Date received: January 31, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaa-28.