学术动态

#RAFS^†Session 17

Time：May 16, 2021, 15:30--17:30

Location：434 Qi Xiang Building, Chang'an Campus

Speaker：Mr. Li, Yulong (Class of 2022)

Title：Category analogue of Fubini’s theorem

Abstract：We discussed last time the usual measure version of Fubini’s theorem, which says that almost all vertical sections of a two-dimensional Lebesgue nullset have one dimensional Lebesgue measure zero. In this talk, we are concerned with a nice category analogue, the Kuratowski-Ulam theorem (1932). Among other things, we will show that thex-section of a plane set of first category is a linear set of first category for allxexcept a set of first category.

† Real Analysis Friday Seminars. Contactshuangshen@nwpu.edu.cnfor any inquiry. For a history of this seminar, please visithttps://teacher.nwpu.edu.cn/2017010194.