TOPOLOGY

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

• Algebra

• Geometry and Analysis

• Geometry

• Functional analysis

Semi open set introduced by

• N. Levine

• A. S. Mashhour

• O. Njastad 

• D.Andrijevic

b open set is introduced by

• N. Levine

• A. S. Mashhour

• D. Andrijevic

• O. Njastad

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

•  $\phi$  

• {a}

• {b}

• X

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

• X

•  $\phi$  

• all 

• none of the above

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

•  $\phi$  

• X

• None  of these

• both above

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

•  $\tau=\left\{\phi,\left\{a\right\}\right\}$  

•  $\tau=\left\{\phi,X\right\}$  

•  $\tau=\left\{\phi,\left\{a\right\},X\right\}$  

•  $\tau=\left\{\phi,\left\{a\right\},\left\{b\right\},X\right\}$  

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

• Trivial topology

• Discrete topology

• non trivial

• non discrete

Fuzzy topology introduced by

• C L Chang

• D.Coker

• J. C. Kelly

• S.Chandrasekar

Micro Topological spaces introduced by

• S.Chandrasekar

• A.S.Mashhour

• T.R.Hamlett

• Muhammad Shabir