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Continuous bijections on manifolds
Published online by Cambridge University Press: 09 April 2009
Abstract
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
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