Crowded Rational Ultrafilters
by
E. Coplakova
TU Delft

We prove that if every family in (^\omega \omega, <= ^*) of size less than c is bounded then there exists a point p in Q^* such that p generates an ultrafilter in the set-theoretic sense on Q and such that p has a base consisting of sets that are homeomorphic to Q. This is a partial answer to Question 30 (Problem 229) in [K. P. Hart and J. van Mill, Open problems on \beta\omega, Open Problems in Topology (Jan van Mill and George M. Reed, eds.), North-Holland, Amsterdam, 1990, pp. 97-125].

Date received: June 24, 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 Mathematical Conference Abstracts. Document # caah-15.