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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on $T_{1}$ topologies
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by Wilson R. Crisler and Troy L. Hicks
Proc. Amer. Math. Soc. 46 (1974), 94-96
DOI: https://doi.org/10.1090/S0002-9939-1974-0370494-3
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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
  • R. Lalitha, A note on the lattice structure of $T_{1}$ topologies on an infinite set, Math. Student 35 (1967), 29–33 (1969). MR 253269
  • Jun-iti Nagata, Modern general topology, Bibliotheca Mathematica, Vol. VII, North-Holland Publishing Co., Amsterdam; Wolters-Noordhoff Publishing, Groningen; Interscience Publishers John Wiley & Sons, Inc., New York, 1968. MR 0264579
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • 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