Ext(A)=Int(X-A) and Ext(X-A)=Int(A) Proofs | Maths |Mad Teacher

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lec #8: (Topology) prove that Int (A) = Ext (X-A) ll Int (X-A) = Ext (A)lec #8: (Topology) prove that Int (A) = Ext (X-A) ll Int (X-A) = Ext (A)
Lec #9: ( Topology) Let A ⊆ X then prove that Ext(A⋂B) ⊇ Ext(A)⋃Ext (B) ll Ext(A⋃B)= Ext (A)⋂Ext (B)Lec #9: ( Topology) Let A ⊆ X then prove that Ext(A⋂B) ⊇ Ext(A)⋃Ext (B) ll Ext(A⋃B)= Ext (A)⋂Ext (B)
T17 : TOPOLOGY || X - int(A) = cl(X-A) Interior and Closure Of A Set In Topological SpaceT17 : TOPOLOGY || X - int(A) = cl(X-A) Interior and Closure Of A Set In Topological Space
Int(X \ A) = X \ Cl(A) & Cl(X \ A)= X \ Int(A)Int(X \ A) = X \ Cl(A) & Cl(X \ A)= X \ Int(A)
Lec 17 ( Topology )Proof of Int (X-A) = X - Clr (A) & Clr (X - A) = X -Int (A) 16 Dec 2020Lec 17 ( Topology )Proof of Int (X-A) = X - Clr (A) & Clr (X - A) = X -Int (A) 16 Dec 2020
T13 : Topology || Cl(A)=A U d(A) / Closure Of a Subset of Top. space/Derived Set/ Limit pointT13 : Topology || Cl(A)=A U d(A) / Closure Of a Subset of Top. space/Derived Set/ Limit point
let A be a subset in aTopological X Then Interior of A = Exterior of X Alet A be a subset in aTopological X Then Interior of A = Exterior of X A
Finding the Interior, Exterior, and Boundary of a Set TopologyFinding the Interior, Exterior, and Boundary of a Set Topology