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Proceedings of the American Mathematical Society

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Whitney stability and contractible hyperspaces


Authors: A. M. Dilks and J. T. Rogers
Journal: Proc. Amer. Math. Soc. 83 (1981), 633-640
MSC: Primary 54B20; Secondary 54F20
DOI: https://doi.org/10.1090/S0002-9939-1981-0627710-3
MathSciNet review: 627710
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Abstract: A contraction technique of the first author is used to derive, for a certain class of continua with contractible hyperspaces, results about Whitney stability, the cone = hyperspace property, and Whitney properties.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0627710-3
Keywords: Contractible hyperspace, Whitney stability, cone = hyperspace property, property $ {\text{K}}$, sliced decomposition
Article copyright: © Copyright 1981 American Mathematical Society

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