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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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A counterexample to de Groot's conjecture in R3
by
M. Levin
University of Saskatchewan
Coauthors: J. Segal (University of Washington)

In 1982 R. Pol answered in the negative de Groot's conjecture by constructing a subspace X of R4 with cmp X = 1 and def X = 2. A counterexample to another conjecture of de Groot was given by Kimura in 1987 who constructed a subspace X of R4 with Cmp X = 1 and def X >= 2. In this talk we will present a new approach to constructing counterexamples to de Groot's conjectures which allows us to construct a subspace X of R3 with cmp X = Cmp X = 1 and def X = 2.

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-54.