Coarser connected topologies of Hausdorff spaces
by
Judith Roitman
University of Kansas
Coauthors: William Fleissner, Jack Porter

We investigate which Hausdorff spaces have coarser connected topologies. For example, every cardinal (with the ordinal topology) does. Many extensions of \omega have coarser connected topologies, e.g., thin-tall scattered spaces. If wX <= |D| then the topological sum X \oplusD has a coarser connected topology. Negative results include: If X is a minimal Hausdorff space with a \pi-base of clopen sets and weight >= |D| then the topological sum X \oplusD does not have a coarser connected topology. There is X with a coarser connected topology but its semi-regularization X(s) does not have a coarser connected topology.

Date received: April 24, 2001

Copyright © 2001 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 # cagw-12.