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Geometric Topology II
September 29 - October 5, 2002
Inter-University Center, Dubrovnik; Department of Mathematics, University of Zagreb
Dubrovnik, Croatia

Organizers
Ivan Ivansic, University of Zagreb;, James E. Keesling, University of Florida;, Alexander N. Dranishnikov, University of Florida;, Sime Ungar, University of Zagreb

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Fibrewise Measures and Milutin Mappings
by
Edward D. Tymchatyn
University of Saskatchewan
Coauthors: S.Ageev (University of Saskatchewan)

We treat the notion of fibrewise measures as the natural expansion of measures from spaces to continuous maps. We characterize topologically mappings admitting atomless fibrewise measures and atomless, exact, fibrewise measures. We prove that the standard exact, atomless, fibrewise measure m_y, m_y = d_y times m where m is the Lebesgue measure on the Hilbert cube Q and d_y is Dirac measure on the first coordinate projection p:Y times Q to Y where Y is a metric space is the topologically unique exact, atomless, fibrewise measure having the universal property.

Date received: September 4, 2002

Copyright © 2002 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 # caje-79.