An example of two uniformities equal in height and proximity
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- by Jack L. Hursch PDF
- Proc. Amer. Math. Soc. 18 (1967), 719-722 Request permission
References
- E. M. Alfsen and J. E. Fenstad, On the equivalence between proximity structures and totally bounded uniform structures, Math. Scand. 7 (1959), 353–360. MR 115156, DOI 10.7146/math.scand.a-10581
- E. M. Alfsen and O. Njȧstad, Proximity and generalized uniformity, Fund. Math. 52 (1963), 235–252. MR 154257, DOI 10.4064/fm-52-3-235-252
- V. A. Efremovič, Infinitesimal spaces, Doklady Akad. Nauk SSSR (N.S.) 76 (1951), 341–343 (Russian). MR 0040748
- Jens Erik Fenstad, On $l$-groups of uniformly continuous functions. III. Proximity spaces, Math. Z. 83 (1964), 133–139. MR 171263, DOI 10.1007/BF01111250
- Jack L. Hursch Jr., Proximity and height, Math. Scand. 17 (1965), 150–160. MR 202108, DOI 10.7146/math.scand.a-10769
- J. R. Isbell, Uniform spaces, Mathematical Surveys, No. 12, American Mathematical Society, Providence, R.I., 1964. MR 0170323
- Yu. M. Smirnov, On proximity spaces, Mat. Sbornik N.S. 31(73) (1952), 543–574 (Russian). MR 0055661
Additional Information
- © Copyright 1967 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 18 (1967), 719-722
- MSC: Primary 54.30
- DOI: https://doi.org/10.1090/S0002-9939-1967-0212762-8
- MathSciNet review: 0212762