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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Adjustment of topological concordances and extensions of homeomorphisms over pinched collars


Author: T. B. Rushing
Journal: Proc. Amer. Math. Soc. 26 (1970), 174-177
MSC: Primary 57.05
DOI: https://doi.org/10.1090/S0002-9939-1970-0264674-1
MathSciNet review: 0264674
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Abstract | References | Similar Articles | Additional Information

Abstract: Under special conditions, it is shown how to adjust topological concordances so as to leave certain sets fixed. Also, a lemma is given which establishes the existence of pinched collars and bicollars under specified circumstances. These two results are then combined to show how to obtain nice extensions of certain homeomorphisms.


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Keywords: Concordance, extension, pinched collar, PL manifold, locally flat
Article copyright: © Copyright 1970 American Mathematical Society