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The 1997 Spring Topology and Dynamics Conference
April 10-12, 1997
University of Southwestern Louisiana
Lafayette, LA, USA

Organizers
Bradd Clark, Kathleen Lopez, Vic Schneider, Roger Waggoner, Thelma West

View Abstracts

Nearly Metacompact Spaces II
by
Elise M. Grabner
Slippery Rock University
Coauthors: Gary C. Grabner (Slippery Rock University), Jerry E. Vaughan (University of North Carolina at Greensboro)

A topological space is said to be nearly metacompact provided every open cover of X has an open refinement point-finite on some dense subset. We will present some new results relating to this topic. For example:

Suppose X is a regular pseudocompact space such that every open cover has an open refinement which is locally finite on some dense set. Then X is compact.

If X is a T1 nearly compact radial space then X is metaLindelöf.

A T2 (not regular) nearly metacompact space that is not irreducible.

Date received: February 24, 1997

Copyright © 1997 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 # caam-15.