Old Exam Papers June 2012 (Set 2)

A
M.A./M.Sc.-MT-02
M.A./M.Sc. (Previous) EXAMINATION,
June, 2012
MATHEMATICS
Paper-M.A./M.Sc.-MT-02
(Real Analysis and Topology)
Time allowed : Three hours
Maximum marks : 80
Attempt any five questions. All
questions carry equal marks.
1. (a) Define Algebra of sets. Show that if $ be an algebra
of sets of a set X and l Anq be a sequence of sets
in $, then there exists a sequence lBnq of sets in
$ such that :
Bi B j if i j
and i
U i U
1
i1
B A
i
PTO