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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
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 𝑇₁ topologies on an infinite set, Math. Student 35 (1967), 29–33 (1969). MR 0253269 (40 #6484)
  • [2] Jun-iti Nagata, Modern general topology, Bibliotheca Mathematica, Vol. VII, North-Holland Publishing Co., Amsterdam; Wolters-Noordhoff Publishing, Groningen; Interscience John Wiley & Sons, Inc., New York, 1968. MR 0264579 (41 #9171)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1974-0370494-3
PII: S 0002-9939(1974)0370494-3
Article copyright: © Copyright 1974 American Mathematical Society