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The 12th Summer Conference on General Topology and its Applications
August 12-16, 1997
Nipissing University
North Bay, ON, Canada

Organizers
Ted Chase, Boguslaw Schreyer, Jodi Sutherland, Murat Tuncali, Stephen Watson

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On Characterization of Lipschitz Manifolds
by
Dušan Repovš
University of Ljubljana, Ljubljana, Slovenia

We shall present an example of a wild Cantor set in the Euclidean 3-space which is Lipschitz ambiently homogeneous. This example serves to prove that, contrary to what was expected, Lipschitz homogeneity does not characterize Lipschitz submanifolds in Euclidean spaces. This is a joint work with Joze Malesic.

Date received: June 30, 1997

Copyright © 1997 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 # caao-04.