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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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On Homogeneous Continua
by
Gerardo Acosta
Instituto de Matematicas, UNAM
Coauthors: Janusz J. Prajs

In this talk we are going to prove that if X is a homogeneous continuum that contains an arc, then either X is a solenoid or X contains arbitrarily small generalized Cantor Fans (i.e. X contains a subcontinuum Y for which there exists a subcontinuum A of Y such that the quotient space Y/A is homeomorphic to the cone over the Cantor set, and Y is arbitrarily small).

Date received: August 1, 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-38.