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Spaces of Measures on Metrizable Spaces
by
Tadeusz Dobrowolski
Pittsburg State University
Coauthors: Katsuro Sakai
We are interested in the topological identification of spaces of measures on metrizable spaces. Our main result states that the space Ps(X) of probability measures with separable supports is homeomorphic to a Hilbert space H if and only if X is completely metrizable and dens(H) = dens(X).
This is a joint work with Katsuro Sakai.
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-24.