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The 1996 Joint Spring Topology Conference and Southeast Dynamical Systems Conference
March 7-9, 1996
Ball State University
Muncie, IN, USA

Organizers
John Emert, Kerry Jones, Roger Nelson

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Cardinal functions in CCC extensions
by
I. Juhasz
Math. Inst. Hung. Acad. Sci. and Miami University

If X is a topological space in a ground model V and P is any notion of forcing then X may also be considered as a topological space in the generic extension VP with the topology generated by the ground model open sets as a basis. Thus, for any cardinal function f, we may then ask about the relationship between the value f(X) taken in V and the value fP(X) taken in VP. Our aim here is to study this relationship for various cardinal functions, when P is a CCC or some special kind of CCC notion of forcing (e.g. P adds Cohen reals, is sigma-centered or sigma-linked, has property K, etc.).

Date received: January 31, 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 Conferences Inc. Document # caaa-47.