On families of Lindelöf and related subspaces of 2^\omega₁
by
Lucia R. Junqueira
University of Sao Paulo
Coauthors: Piotr Koszmider (University of Sao Paulo)

We consider the families of all subspaces of size \omega₁ of 2^\omega₁ (or of a compact zero dimensional space X of weight \omega₁ in general) which are normal, have Lindelöf property or are closed under limits of convergent \omega₁-sequences. Various relations among these families modulo the club filter in [X]^\omega₁ are shown to be consistently possible. The tools used are forcing and dealing with a subspace of the form X \cap M for an elementary submodel M of size \omega₁.

Date received: June 16, 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 # caeu-24.