Annamalai University MSc Mathematics 2nd Year Exam Question Paper

Will you please provide the Question Paper of Annamalai University MSc Mathematics 2nd Year exam ?

[Kiran Chandar]

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.
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15. Prove that every non-zero Hilbert space
contains a complete orthonormal set with
necessary results proved thereby.
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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