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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 tale of two mapping classes
by
Paul Bankston
Marquette University

In the 1960s Andrew Lelek introduced confluent mappings between continua, providing an important generalization of both openness and monotonicity. Several decades later, we introduced co-existential mappings between compacta-inspired by model-theoretic considerations, but definable entirely in topological terms-and proceeded to discover a number of intriguing comparisons and contrasts between these mappings and the confluent ones. This is a progress report.

Date received: January 1, 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-13.