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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 review on continua with unique hyperspace
by
Gerardo Acosta
Instituto de Matematicas, UNAM

In this talk we present an update of what is known about continua with unique hyperspace C(X), Cn(X) and Fn(X). Recall that a continuum X has unique hyperspace C(X) if for any continuum Y, from the fact that hyperspaces C(X) and C(Y) are homeomorphic, it follows that continua X and Y are homeomorphic as well. Replacing C(X) by Cn(X) and by Fn(X) we obtain que notion of having unique hyperspace Cn(X) and Fn(X), respectively.

Date received: December 7, 2007


Copyright © 2007 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-04.