Restrictions to continuous functions and Boolean algebras
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- by Ireneusz Recław PDF
- Proc. Amer. Math. Soc. 118 (1993), 791-796 Request permission
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.References
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Additional 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