• DocumentCode
    3449953
  • Title

    The interval topology on T1-lattices

  • Author

    Xiaoquan, Xu ; Yingming, Liu

  • Author_Institution
    Dept. of Math., Jiangxi Normal Univ., Nanchang, China
  • fYear
    1996
  • fDate
    11-14 Dec 1996
  • Firstpage
    502
  • Lastpage
    505
  • Abstract
    The main purpose of the paper is to study under which conditions the interval topology on a T1-lattice may be Hausdorff. The authors show that for a T1-lattice L, the interval topology on L cannot be Hausdorff except in the extreme case that L is isomorphic to the power set of some set X. Similarly, for a T1-space (X, ∂(X)), the interval topology on ∂(X) cannot be Hausdorff except in the extreme case that (X. ∂(X)) is discrete
  • Keywords
    fuzzy set theory; lattice theory; set theory; topology; Hausdorff separation axiom; T1-lattices; interval topology; power set; set; Algebra; Lattices; Mathematics; Power generation; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Fuzzy Systems Symposium, 1996. Soft Computing in Intelligent Systems and Information Processing., Proceedings of the 1996 Asian
  • Conference_Location
    Kenting
  • Print_ISBN
    0-7803-3687-9
  • Type

    conf

  • DOI
    10.1109/AFSS.1996.583679
  • Filename
    583679
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3449953