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- 1. Multiple Choice
For a subset A of a matric space X then which is the following statements is true ?
A̅=AUA′
A̅=A if A is closed
int A is smallest closed set
A̅ is closed set
- 2. Multiple Choice
Which one of the following space is completes ?
[a,b]
(a,b)
(a,b]
[a,b)
- 3. Multiple Choice
A topology τ of a subset X={a,b,c} is a trivial topology if
τ={Φ,x,a}
τ={Φ,x}
τ={Φ,x,a,b}
τ={Φ,x,a,b,c}
- 4. Multiple Choice
The intersection of any family of closed set of a topological space X is .......
A finite set
A closed set
Anopen set
Both closed and open set
- 5. Multiple Choice
Let a matric space (X,d) and if every cauchy sequence in X is convergence to a point in X then the matric space is called ............
Equivalent matric space
Product matric space
Complete matric space
co-ordinate matric space
- 6. Multiple Choice
Let Y be a connected subspace of space X and Z is subspace os X such that Y⊂Z⊂Y̅ then
Z is disconnected
Z is separated
Z is connected
Z is path connected
- 7. Multiple Choice
If f and g are measurable function then which of the following is not measurable ?
f.g
f+g
f/g
All of the above
- 8. Multiple Choice
Let E⊂Rn then ∀, ε>0. Ǝ an open set G such that E⊂G then
|G|e ≤ |E|e + ε
|G|e ≤ |E|e
|G|e < |E|e + ε
|G|e > |E|e + ε
- 9. Multiple Choice
Which of the following statements is not true for locally compatness?
Locally compactness doesnot imply compatness.
Locally compactness is topological property
Every compactness space is locally compact.
Some compact space is locally compact.
- 10. Multiple Choice
Who discover the Measure theory on Mathematics ?
Gerry Lebesgue
Henry Lebesgue
Cantor
Euclide
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