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Analysis and Topology, Lviv - 2008
May 26 - June 7, 2008
Ivan Franko National University of Lviv
Lviv, Ukraine

Organizers
M.Zarichnyi, O.Skaskiv, T.Banakh (Lviv University)

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Michael's problem and weakly infinite-dimensional spaces
by
Alexandre Karassev
Nipissing University

Let X be a compact Hausdorff space. Suppose that any multivalued map F: X→ Y, where Y is a Gd subset of a Banach space, such that the values of F are convex and closed in Y, has a continuous single-valued selection. Then we prove that X is weakly infinite-dimensional. This provides a partial solution of Gd-problem, posed by Ernest Michael.

Date received: April 3, 2008

Copyright © 2008 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 # cawm-15.