Seminars: N. T. Nemesh, Classification of localizable measure algebras

SEMINARS


Algebras in Analysis March 13, 2020 18:05, Moscow, Lomonosov Moscow State University, room 13-20.

Classification of localizable measure algebras N. T. Nemesh
Abstract: In this talk, we discuss the main classification theorem of measure theory. Roughly, the theorem states that "almost all" measure spaces are "essentially" sums of probability spaces of the form $\{0, 1\}^\kappa$. To give an exact statement, we will need to introduce localizable measure spaces, boolean algebras, and measure space algebras.