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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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Lusin and Suslin topologies on a set
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by Kohur Gowrisankaran
Proc. Amer. Math. Soc. 43 (1974), 326-330
DOI: https://doi.org/10.1090/S0002-9939-1974-0336721-3
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Abstract:

It is proved that the Borel subsets of two Suslin topologies on a set $X$ are identical if and only if there is a Suslin topology on $X$ finer than both the given topologies. Properties of the supremum topology are given under suitable conditions on the subdivisions of the spaces.
References
  • Laurent Schwartz, Radon measures on arbitrary topological spaces and cylindrical measures, Tata Institute of Fundamental Research Studies in Mathematics, No. 6, Published for the Tata Institute of Fundamental Research, Bombay by Oxford University Press, London, 1973. MR 0426084
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 43 (1974), 326-330
  • MSC: Primary 54H05
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0336721-3
  • MathSciNet review: 0336721