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Categorical Methods in Algebra and Topology (CatMAT 2000)
August 21-25, 2000
University of Bremen
Bremen, Germany

Organizers
Hans-E. Porst, Horst Herrlich

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Borel Universal Sets
by
Peter Collins
Oxford, U.K.

Suppose \Gamma is a class function assigning to each topological space X a family \Gamma(X) of subsets of X. A set U contained in X×Y is a \Gamma-universal set for X parametrised by Y if U in \Gamma(X×Y) and \Gamma(X)={Uy:y in Y}, where Uy={x in X:(x, y) in U}. This paper investigates Borel universal sets of regular Hausdorff spaces, in particular relating properties of the space X to those of the parametrising space Y. Authors involved include P. M. Gartside and J. T. H. Lo.

Date received: June 8, 2000

Copyright © 2000 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 # caeq-44.