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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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Restrictions to continuous functions and Boolean algebras
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by Ireneusz Recław
Proc. Amer. Math. Soc. 118 (1993), 791-796
DOI: https://doi.org/10.1090/S0002-9939-1993-1152289-8

Abstract:

We show that every Borel function $f:\mathbb {R} \to \mathbb {R}$ is continuous on a set $A \notin \mathcal {J}$ if $B(\mathbb {R})/\mathcal {J}$ is weakly distributive. We also show that CCC is not sufficient. We investigate some other conditions considering the problem of restrictions to continuous functions.
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Bibliographic Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 118 (1993), 791-796
  • MSC: Primary 26A21; Secondary 04A15, 06E99, 28A20, 54C30
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1152289-8
  • MathSciNet review: 1152289