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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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$\varepsilon$-continuity and shape
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by James E. Felt PDF
Proc. Amer. Math. Soc. 46 (1974), 426-430 Request permission

Abstract:

In this paper a relationship is established between the concepts of $\varepsilon$-continuity and shape for compact metric spaces, thus answering a question raised by Victor Klee.
References
  • A. Dold, Lectures on algebraic topology, Die Grundlehren der mathematischen Wissenschaften, Band 200, Springer-Verlag, New York-Berlin, 1972 (German). MR 0415602, DOI 10.1007/978-3-662-00756-3
  • W. Holsztyński, An extension and axiomatic characterization of Borsuk’s theory of shape, Fund. Math. 70 (1971), no. 2, 157–168. MR 282368, DOI 10.4064/fm-70-2-157-168
  • Sze-tsen Hu, Theory of retracts, Wayne State University Press, Detroit, 1965. MR 0181977
    • V. Klee, Some proximate notions in topology, Convegno di Topologia Insiemistica e Generale (University of Rome, March 1973), Symposia Mathematica, Academic Press, New York (to appear).
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 46 (1974), 426-430
  • MSC: Primary 54C56
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0362206-4
  • MathSciNet review: 0362206