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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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Products with the fixed point property
by
Fernando Macías-Romero
Facultad de Ciencias Físico Matemáticas, BUAP, Puebla, México

A continuum is a nonempty, compact, connected metric space. The mapping f is said to be universal provided that for any mapping g:X --> Y there is a point p in X such that f(p)=g(p). In this talk we prove the following theorem: Let X1 and X2 be continua with zero surjective semispan, if Y1 and Y2 are continua and f1:Y1 --> X1 and f2:Y2 --> X2 are any two surjective mapping, then function f1×f2:Y1×Y2 --> X1×X2 defined by (f1×f2)(x1, x2)=(f1(x1), f(x2)) is a universal mapping. Hence X1×X2 has the fixed point property.

Date received: July 2, 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-18.