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TOPOLOGY

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Topology also called as child of------

a)

Algebra

b)

Geometry and Analysis

c)

Geometry

d)

Functional analysis

2.

Semi open set introduced by

a)

N. Levine

b)

A. S. Mashhour

c)

O. Njastad 

d)

D.Andrijevic

3.

b open set is introduced by

a)

N. Levine

b)

A. S. Mashhour

c)

D. Andrijevic

d)

O. Njastad

4.

 If τ={ϕ,X,{a}}If\ \tau=\left\{\phi,X,\left\{a\right\}\right\}  , find interior of {b} is ----

a)

 ϕ\phi  

b)

{a}

c)

{b}

d)

X

5.

 (X,τ)\left(X,\tau\right)   be a topological spaces ,Find cl(X)=----?

a)

X

b)

 ϕ\phi  

c)

all 

d)

none of the above

6.

 (X,τ) \left(X,\tau\right)\   be a topological spaces ,then Int Int(ϕ)=?Int\left(\phi\right)=---?  

a)

 ϕ\phi  

b)

X

c)

None  of these

d)

both above

7.

If X={a,b} following which one is  not topology

a)

 τ={ϕ,{a}}\tau=\left\{\phi,\left\{a\right\}\right\}  

b)

 τ={ϕ,X}\tau=\left\{\phi,X\right\}  

c)

 τ={ϕ,{a},X}\tau=\left\{\phi,\left\{a\right\},X\right\}  

d)

 τ={ϕ,{a},{b},X}\tau=\left\{\phi,\left\{a\right\},\left\{b\right\},X\right\}  

8.

 τ={ϕ,X} \tau=\left\{\phi,X\right\}\   is called as

a)

Trivial topology

b)

Discrete topology

c)

non trivial

d)

non discrete

9.

Fuzzy topology introduced by him.who is he?

a)

C L Chang

b)

D.Coker

c)

J. C. Kelly

d)

S.Chandrasekar

10.

Micro Topological spaces introduced by

a)

S.Chandrasekar

b)

A.S.Mashhour

c)

T.R.Hamlett

d)

Muhammad Shabir