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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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
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.


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