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Continuous bijections on manifolds

Published online by Cambridge University Press:  09 April 2009

P. H. Doyle  and
J. G. Hocking
P. H. Doyle
Affiliation:
Department of Mathematics, Michigan State University, Wells Hall, East Lansing,Michigan 48824, U.S.A.
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Abstract

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The main results of the paper give necessary and sufficient conditions as well as sufficient conditions that continuous bijections of a manifold onto itself be homeomorphisms. Such conditions include the embedding of manifolds, preserving ends, preserving closed half-rays and restrictions on boundary components. A number of counterexamples are given to likely conjectures.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 22 , Issue 3 , November 1976 , pp. 257 - 263
Copyright
Copyright © Australian Mathematical Society 1976

References

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