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3rd December 2014, 01:08 PM
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Join Date: Apr 2013
Re: Annamalai University MSc Mathematics 2nd Year Exam Question Paper

Here is the list of few questions of Annamalai University MSc Mathematics 2nd Year Exam Sample Question Paper which you are looking for .

1. Prove that every non-empty open set on the real
line is the union of a countable disjoint class
of open intervals.
2. State and prove Lindelof theorem.
4
15. Prove that every non-zero Hilbert space
contains a complete orthonormal set with
necessary results proved thereby.
2 3
3. Prove that any closed subspace of a compact
space is compact.
4. Let x be an infinite set with the topology
T = { φ } ∪ { ∪ ⊆ x / x – ∪ } is finite. Prove
that (x, T) is a T1 space but not a Hausdorff
space.
5. Let x be a compact Hausdorff space. Prove that
x has an open base whose sets are closed iff x



Last edited by Kiran Chandar; 3rd December 2014 at 01:10 PM.


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