Measure Theory

MA359 Measure Theory Lecture Notes  LaTeXed based on lectures by Prof. Jose Rodrigo, University of Warwick in 2012 Autumn 

Errors/Comments of Measure Theory Notes:

Page 69   Line 1 (Monotonicity) "....\int \phi d\mu\leq\int \psi d\mu."

Page 77   It's misleading to call Vanishing Integrand Rule as an application of M.C.T. as I did not use it thoughout the proof. But the Vanishing Rule would lead to a stronger version of M.C.T. (Theorem 4.7)

Page 96 Theorem 4.16 (1) It should be "\lim_{t\rightarrow t_0}f(x,t)=f(x,t_0)".

Page 128 Theorem 5.6 "...Then there exists uniquely \sigma-finite signed measures..."