Category analog of sup-measurability problem

Krzysztof Ciesielski; Saharon Shelah

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arXiv · math/9905147

Category analog of sup-measurability problem

Krzysztof Ciesielski·Saharon Shelah

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Abstract

A function F:R^2->R is sup-measurable if F_f:R->R given by F_f(x)=F(x,f(x)), x in R, is measurable for each measurable function f:R->R. It is known that under different set theoretical assumptions, including CH, there are sup-measurable non-measurable functions, as well as their category analog. In this paper we will show that the existence of category analog of sup-measurable non-measurable functions is independent of ZFC. A similar result for the original measurable case is a subject of a work in prepartion by Roslanowski and Shelah.

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BibTeX RIS

Krzysztof Ciesielski, Saharon Shelah. 1999-05-24. Category analog of sup-measurability problem. https://arxiv.org/abs/math/9905147

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