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Proceedings of the American Mathematical Society

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

 

 

A second category set with only first category functions


Author: P. Komjáth
Journal: Proc. Amer. Math. Soc. 112 (1991), 1129-1136
MSC: Primary 03E35; Secondary 03E15
DOI: https://doi.org/10.1090/S0002-9939-1991-1065086-7
MathSciNet review: 1065086
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Abstract: If the existence of a measurable cardinal is consistent then it is consistent in that there is a second category set $ A \subseteq R$ such that every $ A \to A$ function, as a subset of $ {R^2}$, is of first category. Some other connected results are also proved.


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DOI: https://doi.org/10.1090/S0002-9939-1991-1065086-7
Article copyright: © Copyright 1991 American Mathematical Society