|
Cardinal p and a theorem of Pelczynski
by
Mikhail Matveev
(visiting) Univesity of California, Davis
Must two compactifications, b1\omega and b2\omega of the countable discrete space \omega be homeomorphic prowided their remainders b1\omega-\omega and b2\omega-\omega are homeomorphic? Pelczynski proved that the answer is affirmative for metrisable compactifications. We consider the case when the remainder is D\tau for some uncountable \tau. We show that the answer is affirmative for \tau < p and negative for \tau = c. Also we consider some special dense countable subspaces in D\tau and some modifications of the cardinal p.
Date received: January 27, 2000
Copyright © 2000 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 # cady-15.