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Canadian Mathematical Society Winter Meeting (Special Session on Set-theoretic Topology)
December 13-15, 1998
Queen's University and Royal Military College
Kingston, ON, Canada

Organizers
Juris Steprans, Stephen Watson

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Topological Dimension and Sums of Connectivity Functions
by
Jerzy Wojciechowski
West Virginia University
Coauthors: Chris Ciesielski

The main goal of this paper is to show that the inductive dimension of a \sigma-compact metric space X can be characterized in terms of algebraical sums of connectivity (or Darboux) functions X --> R. As an intermediate step we show, using a result of Hayashi, that for any dense G\delta set G in R2k+1 the union of G and some k homeomorphic images of G is universal for k-dimensional separable metric spaces.

Date received: December 11, 1998

Copyright © 1998 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 # cabr-24.