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A note on measurability and almost continuity


Authors: Maxim R. Burke and David H. Fremlin
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
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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 [Enhancements On Off] (What's this?)

  • [1] K. Kunen, Random and Cohen reals, Handbook of Set-Theoretic Topology, North-Holland, 1984. MR 776619 (85k:54001)
  • [2] D. H. Fremlin, Measurable functions and almost-continuous functions, Manuscripta Math. 33 (1981), 387-405. MR 612620 (82e:28006)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1988-0928989-7
Article copyright: © Copyright 1988 American Mathematical Society

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