A non-completely regular quiet quasi-uniformity
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- by P. Fletcher, J. Hejcman and W. Hunsaker
- Proc. Amer. Math. Soc. 108 (1990), 1077-1079
- DOI: https://doi.org/10.1090/S0002-9939-1990-1007497-0
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Abstract:
A complete quiet quasi-uniformity is constructed on A. Mysior’s regular but not completely regular space. This answers a question raised by D. Doitchinov at the Prague conference on categorial topology in 1988.References
- D. Doitchinov, On completeness of quasi-uniform spaces, C. R. Acad. Bulgare Sci. 41 (1988), no. 7, 5–8. MR 959596
- Doitchin Doitchinov, A concept of completeness of quasi-uniform spaces, Topology Appl. 38 (1991), no. 3, 205–217. MR 1098901, DOI 10.1016/0166-8641(91)90086-2
- Doitchin Doitchinov, On completeness in quasi-metric spaces, Topology Appl. 30 (1988), no. 2, 127–148. MR 967750, DOI 10.1016/0166-8641(88)90012-0
- Peter Fletcher and William F. Lindgren, Quasi-uniform spaces, Lecture Notes in Pure and Applied Mathematics, vol. 77, Marcel Dekker, Inc., New York, 1982. MR 660063 R. Kopperman, Compactness and Diotchinov completion (preprint).
- A. Mysior, A regular space which is not completely regular, Proc. Amer. Math. Soc. 81 (1981), no. 4, 652–653. MR 601748, DOI 10.1090/S0002-9939-1981-0601748-4
Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 1077-1079
- MSC: Primary 54E15; Secondary 54E52
- DOI: https://doi.org/10.1090/S0002-9939-1990-1007497-0
- MathSciNet review: 1007497