The uniform continuity of continuous functions on a topological space
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- by Allen S. Davis PDF
- Proc. Amer. Math. Soc. 14 (1963), 977-980 Request permission
References
- A. S. Davis, Indexed systems of neighborhoods for general topological spaces, Amer. Math. Monthly 68 (1961), 886–893. MR 214017, DOI 10.2307/2311686
- Allen S. Davis, Fixpoint theorem for contractions of a well-chained topological space, Proc. Amer. Math. Soc. 14 (1963), 981–985. MR 161323, DOI 10.1090/S0002-9939-1963-0161323-4
- Norman Levine, Remarks on uniform continuity in metric spaces, Amer. Math. Monthly 67 (1960), 562–563. MR 116310, DOI 10.2307/2309175
- Norman Levine, A note on the Lipschitz condition in metric spaces, Proc. Amer. Math. Soc. 13 (1962), 314–315. MR 133101, DOI 10.1090/S0002-9939-1962-0133101-2
- Lester R. Ford Jr., Homeomorphism groups and coset spaces, Trans. Amer. Math. Soc. 77 (1954), 490–497. MR 66636, DOI 10.1090/S0002-9947-1954-0066636-1 A. Weil, Sur les espaces à structure uniforme et sur la topologie générale, Actualités Sci. Ind. No. 551, Paris, Hermann, 1937.
Additional Information
- © Copyright 1963 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 14 (1963), 977-980
- MSC: Primary 54.60
- DOI: https://doi.org/10.1090/S0002-9939-1963-0157349-7
- MathSciNet review: 0157349