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Proceedings of the American Mathematical Society

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

 
 

 

Lusin and Suslin topologies on a set


Author: Kohur Gowrisankaran
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
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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 [Enhancements On Off] (What's this?)

  • [1] L. Schwartz, Radon measures on arbitrary topological spaces and cylindrical measures, Tata Institute of Fundamental Research Monograph, Oxford Univ. Press, Bombay, 1973. MR 0426084 (54:14030)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1974-0336721-3
Keywords: Lusin, Suslin, topology, Borel sets, Radon space, Radon measures
Article copyright: © Copyright 1974 American Mathematical Society

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