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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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Cartesian products of metric Baire spaces
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by M. R. Krom
Proc. Amer. Math. Soc. 42 (1974), 588-594
DOI: https://doi.org/10.1090/S0002-9939-1974-0334138-9
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Abstract:

For any topological space X there is an associated ultrametric space $\mathcal {U}(X)$ such that the cartesian product $\mathcal {U}(X) \times Y$ with any other space Y is a Baire space iff $X \times Y$ is a Baire space. Assuming the continuum hypothesis, there exists an indeterminate infinite two person game such that a cartesian product of the game with itself is determinate.
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Bibliographic Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 42 (1974), 588-594
  • MSC: Primary 54C50; Secondary 04A30, 54E35, 90D05
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0334138-9
  • MathSciNet review: 0334138