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The 12th Summer Conference on General Topology and its Applications
August 12-16, 1997
Nipissing University
North Bay, ON, Canada

Organizers
Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali, Stephen Watson

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Perfect set properties and ultrafilters on \omega
by
Carlos A. Di Prisco
Instituto Venezolano de Investigaciones Cientificas, Venezuela
Coauthors: Stevo Todorcevic (University of Toronto, Canada)

The perfect set property for sets of real numbers, together with several related properties, is shown to be consistent with the existence of ultrafilters on the set of natural numbers.

The fact that these properties hold in Solovay's model where all sets of real numbers are Lebesgue measurable is an important element of the proof. Forcing with P(\omega)/fin and Mathias forcing are also used.

Date received: July 1, 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-71.