PMATH 451/651, FALL 2015
Assignment #2
Due: Fri. Oct. 16.
1. For this question, we consider the complete Lebesgue measure space
(R, L, ). Our goal is to prove (e), below. In particular, L ( P(R).
(a) Show that if E L with 0 < (E) < and 0 < < 1, then
there

Pure Math 451, Final Exam Topics
Final Exam: Thursday, December 17, 2015, in MC 4042.
The final exam will borrow liberally form the homework assignment questions. Questions I would be likely to use from homeworks would be ones which are not to long or mes

PMATH 451/651, FALL 2015
Assignment #1
Due: Sept. 30.
1. Let X be a set and cfw_En
n=1 a sequence of subsets of X. We denote
lim sup En =
n
[
\
Ek and lim inf En =
n
n=1 k=n
\
[
Ek .
n=1 k=n
Hence lim supn En is the set of points which are in infinitle