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Spring Topology and Dynamics Conference
March 21-23, 2002
University of Texas
Austin, TX, USA

Organizers
Cameron Gordon, John Luecke, Alan Reid

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Open Mappings Between Dendrites
by
Gerardo Acosta
UNAM-UAB
Coauthors: Lex Oversteegen (University of Alabama at Birmingham)

It is known that any open map f: [0, 1] --> [0, 1] is an n-fold, i.e the space [0, 1] can be divided into n subsets 0 = x0 < x1 < ... < xn-1 < xn = 1 in such a way that the map f restricted to any set [xi, xi+1] is a homeomorphism. Easy examples show that this result, as stated, cannot be generalized to open mappings between dendrites. In this talk we present an appropiate generalization for such maps.

Date received: February 20, 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 # caik-35.