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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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Extension of Menger-Urysohn addition theorem to stratifiable spaces
by
Vera Tonic
University of Zagreb, Department of mathematics

The classical Menger-Urysohn addition theorem states that, given two subsets A and B of a metrizable space, we have dim(A \cup B) <= dimA + dimB +1. Jerzy Dydak's generalisation was following: given two subsets A and B of a metrizable space, and two CW-complexes K and L such that K in AE(A) and L in AE(B), we have K*L in AE(A \cup B). We generalise this further using stratifiable spaces instead of metric ones. The class of stratifiable spaces lies between paracompact and metric spaces.

Date received: September 9, 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-86.