Lecture 31 | A map f is continuous iff for any subset A, f(A) is a subset of cl(f(A)) | Topology

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6. f is continuous iff f(cl(A)) is subset of cl(f(A)) for every subset of X || Continuity in metric6. f is continuous iff f(cl(A)) is subset of cl(f(A)) for every subset of X || Continuity in metric
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A function f is continuous on X iff subset A of X, f(A closure) is subset of whole closure of f(A)A function f is continuous on X iff subset A of X, f(A closure) is subset of whole closure of f(A)
A function is continuous iff for every closed set C in Y f-1(C) is closed in XA function is continuous iff for every closed set C in Y f-1(C) is closed in X
Theorem|A Function is Continuous iff For Any Subset of Y inverse(intA) is Subset of int[inversef(A)]Theorem|A Function is Continuous iff For Any Subset of Y inverse(intA) is Subset of int[inversef(A)]
Domain is Discrete m.s. then function is conti.|L24 | TYBSc Maths |Continuous Functions @ranjankhatuDomain is Discrete m.s. then function is conti.|L24 | TYBSc Maths |Continuous Functions @ranjankhatu
f:(X,T) to (Y,T) is continuous iff for any subset A of X, f(Cl(A)) is subset of Cl(f(A))f:(X,T) to (Y,T) is continuous iff for any subset A of X, f(Cl(A)) is subset of Cl(f(A))
2. Function in metric space is continuous iff inverse image of open set is open | in Hindi2. Function in metric space is continuous iff inverse image of open set is open | in Hindi