A second category set with only first category functions

Komjáth, P.

doi:10.1090/S0002-9939-1991-1065086-7

A second category set with only first category functions
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Proc. Amer. Math. Soc. 112 (1991), 1129-1136 Request permission

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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