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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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Inductive dimensions generated by CW-complexes
by
Alex Chigogidze
University of Saskatchewan, Canada

We will introduce large IndL and small indL inductive dimensions generated by a CW-complex L and discuss relations of these inductive dimensions with the extension dimension e-dim. In particular, for every complex L, every non-negative integer n and every separable metrizable space X we establish equivalence of the following three conditions: 1. IndL X <= n; 2. indL X <= n; 3. e-dim X <= [\Sigman L].

Here \SigmanL stands for the n-th iterated suspension of L.

Date received: September 5, 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-82.