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Proceedings of the American Mathematical Society

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A note on semitopological classes


Author: S. Gene Crossley
Journal: Proc. Amer. Math. Soc. 43 (1974), 416-420
MSC: Primary 54A05
DOI: https://doi.org/10.1090/S0002-9939-1974-0339041-6
MathSciNet review: 0339041
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Abstract: This paper shows that semitopological classes are subsemilattices of the lattice of topologies, and gives a new characterization for the finest topology in the semitopological class.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0339041-6
Keywords: Semitopological class, lattice of topologies, semiopen sets
Article copyright: © Copyright 1974 American Mathematical Society