Topology

Who discover the Measure theory on Mathematics ?

• Gerry Lebesgue

• Henry Lebesgue

• Cantor

• Euclide

A topology τ of a subset of 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}

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

A topology τ of a subset of X={a,b,c} .then which of the following is topology.

• τ_1={a,b,c}

• τ_{2={{a},{a,b,c}}}

• τ_{3={{a},{b},{a,b,c}}}

• All of the above

A topology τ of a subset of X={a,b,c} .then which of the following is not topology.

• τ_{1={{a},{a,b,c}}}

• τ_{2={{a},{b},{a,b,c}}}

• τ_{3 =} {Φ,X}

• τ_{4 ={{a,b},{b,c},{a,b,c}}}