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A non-completely regular quiet quasi-uniformity


Authors: P. Fletcher, J. Hejcman and W. Hunsaker
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
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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 [Enhancements On Off] (What's this?)

  • [1] D. Doitchinov, On completeness of quasi-uniform spaces, C. R. Acad. Bulgare Sci. 41 (1988), 5-8. MR 959596 (89j:54028)
  • [2] -, A concept of completeness of quasi-uniform spaces, Topology Appl. (to appear). MR 1098901 (92b:54061)
  • [3] -, On completeness in quasi-metric spaces, Topology Appl. 30 (1988), 127-148. MR 967750 (90e:54068)
  • [4] P. Fletcher and W. F. Lindgren, Quasi-uniform spaces Marcel Dekker, New York and Basel, 1982. MR 660063 (84h:54026)
  • [5] R. Kopperman, Compactness and Diotchinov completion (preprint).
  • [6] A. Mysior, A regular space which is not completely regular, Proc. Amer. Math. Soc. 81 (1981), 652-653. MR 601748 (82j:54026)

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DOI: https://doi.org/10.1090/S0002-9939-1990-1007497-0
Article copyright: © Copyright 1990 American Mathematical Society

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