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Nordic Conference on Topology and its Applications (NORDTOP2001)
August 7-9, 2001
Sophus Lie Conference Centre
Nordfjordeid, Norway

Organizers
Peter Collins, Bjoern Jahren, Dusan Repovs, Stephen Watson

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Compactification of a Set which is Mapped into Itself
by
F.A. Smith
Kent State University
Coauthors: A. Iwanik, L. Janos

We prove that if T:X --> X is a selfmap of a set X such that meet {TnX:n in N} is a one-point set, then the set X can be endowed with a compact Hausdorff topology so that T is continuous.

Date received: July 19, 2001

Copyright © 2001 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 # cagf-21.