超可测性问题的范畴类比
Category analog of sup-measurability problem
摘要：
一个函数F：R^2->R是超可测的，如果F_f：R->R由F_f（x）=F（x，f（x））给出，x在R中，对于每个可测函数f：R->R都是可测的.在包括CH在内的不同集合论假设下，存在超可测非可测函数及其范畴类比。本文证明了超可测非可测函数的范畴模拟的存在性与ZFC无关。一个类似的结果，为原来的可衡量的情况下，是一个主题的工作，在concrettion由Roslanowski和Shelah。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
