$\varepsilon$-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).
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