More on Countably Compact spaces and the Continuum Hypothesis
by
Todd Eisworth
University of Kansas/Hebrew University of Jerusalem

This talk can be viewed as a continuation of my talk given at the Spring Topology conference at USL. Instead of listing a catalog of results that are now known to be consistent with the Continuum Hypothesis, I will instead concentrate on the techniques currently available for producing ïnteresting" models of ZFC + CH. Inessential variations of Shelah's notion of D-completeness suffice to get models of CH where perfectly normal, countably compact spaces are compact (this was essentially my talk at USL). Recent work of Shelah has produced some new iteration theorems that allow us to tackle questions about the structure of perfect pre-images of \omega₁ in the presence of the Continuum Hypothesis, and I would like to present a simple example or two of this in order to illustrate the technique.

Date received: June 30, 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 # caao-49.