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A note on $ T\sb{1}$ topologies


Authors: Wilson R. Crisler and Troy L. Hicks
Journal: Proc. Amer. Math. Soc. 46 (1974), 94-96
MSC: Primary 54D10
DOI: https://doi.org/10.1090/S0002-9939-1974-0370494-3
MathSciNet review: 0370494
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Abstract: Let $ t$ be a $ {T_1}$ topology for a set $ X$. The problem of representing $ t$ as the lattice product (intersection) of stronger topologies is considered.


References [Enhancements On Off] (What's this?)

  • [1] R. Lalitha, A note on the lattice structure of $ {T_1}$ topologies on an infinite set, Math. Student 35 (1967), 29-33. MR 40 #6484. MR 0253269 (40:6484)
  • [2] Jun-iti Nagata, Modern general topology, Bibliotheca Mathematica, vol. 7, North-Holland, Amsterdam; Wolters-Noordhoff, Groningen; Interscience, New York, 1968. MR 41 #9171. MR 0264579 (41:9171)

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DOI: https://doi.org/10.1090/S0002-9939-1974-0370494-3
Article copyright: © Copyright 1974 American Mathematical Society

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