On continuous images of Radon-Nikodym compact spaces
by
Mihaela Iancu
York University
Coauthors: Stephen Watson (York University)

We discuss some applications for a theorem of characterization of RN compactness of continuous images of RN compacts.

We observe that no non-RN compact is minimal, in the sense that any compact space which is not RN compact has proper closed subspaces which are not RN compacts.

We call RNK a space which admits on its square a nonnegative fragmenting function measuring positive distance between any two closed disjoint subsets of it and we observe characterizations and invariances for this class of spaces, which is intermediate for the fragmentable and the RN compacts. RNK compactness is equivalent to strongly fragmentable compactness and quasi RN compactness, which were studied by Reznicheko, Namioka and Arvanitakis. RNK compactness and RN compactness are equivalent for 0-dimensional spaces.

Date received: May 25, 2001

Copyright © 2001 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 # cagw-86.