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Spring Topology and Dynamical Systems Conference 2003
March 20-22, 2003
Texas Tech University
Lubbock, TX, USA

Organizers
Wayne Lewis, Razvan Gelca, Harold Bennett, Carl Seaquist

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Homogeneous continua containing arcs
by
Gerardo Acosta
Instituto de Matematicas, U.N.A.M.
Coauthors: Janusz R. Prajs

In this talk we give some classification of homogeneous continua that contains an arc. We show that if X is such continuum then either X is a solenoid or X contains arbitrarilly small continua Y for which there exists a subcontinuum Z of Y such that the quotient space Y/Z is homeomorphic to a Cantor fan.

Date received: February 6, 2003

Copyright © 2003 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 # cajz-18.