A note on measurability and almost continuity
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- by Maxim R. Burke and David H. Fremlin
- Proc. Amer. Math. Soc. 102 (1988), 611-612
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928989-7
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Abstract:
We prove that it is consistent with ZFC that there exist a measurable function $f:\left [ {0,1} \right ] \to {\omega _1}$ which is not almost continuous.References
- Kenneth Kunen and Jerry E. Vaughan (eds.), Handbook of set-theoretic topology, North-Holland Publishing Co., Amsterdam, 1984. MR 776619
- D. H. Fremlin, Measurable functions and almost continuous functions, Manuscripta Math. 33 (1980/81), no. 3-4, 387–405. MR 612620, DOI 10.1007/BF01798235
Bibliographic Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 102 (1988), 611-612
- MSC: Primary 28A20; Secondary 03E35
- DOI: https://doi.org/10.1090/S0002-9939-1988-0928989-7
- MathSciNet review: 928989