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Proceedings of the American Mathematical Society

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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: 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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DOI: https://doi.org/10.1090/S0002-9939-1970-0264674-1
Keywords: Concordance, extension, pinched collar, PL manifold, locally flat
Article copyright: © Copyright 1970 American Mathematical Society