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Spring Topology and Dynamical Systems Conference 2008
March 13-15, 2008
University of Wisconsin Milwaukee and Marquette University
Milwaukee, WI, USA

Organizers
Ric Ancel, Karen Brucks, Craig Guilbault, Chris Hruska, Suzanne Hruska, Boris Okun (UWM); Paul Bankston (Marquette); Lois Kailhofer (Alverno College).

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A hereditarily indecomposable non-metric continuum that supports a Whitney map
by
Jennifer Stone
Auburn University

J.J. Charatonik and W.J. Charatonik posed the question of characterizing non-metric continua for which there exist a Whitney map for C(X). An example of a hereditarily indecomposable non-metric continuum that supports a Whitney map is constructed. This continuum is constructed using the lexicographic arc, inverse limits and pseudo-arcs. Using this construction and a result of G. Kozlowski we believe that it can be shown that there exist c many hereditarily indecomposable non-metric continua that will support a Whitney map.

Date received: January 15, 2008

Copyright © 2008 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 # cawk-20.