Q4) Let X={a, b, c, d} with the topology T={Ø, X, {a}, {b}, {a,b}, {b,c,d}}. Let f: (X,T)→(X,T) such that f(a)=f(c)=Db, f(b)%3Dd and f(d)=c. Then O a. f is continuous at d b. f is continuous on X O c....

Q4) Let X={a, b, c, d} with the topology T={Ø, X,<br>{a}, {b}, {a,b}, {b,c,d}}.<br>Let f: (X,T)→(X,T) such that f(a)=f(c)=Db, f(b)%3Dd<br>and f(d)=c. Then<br>O a. f is continuous at d<br>b. f is continuous on X<br>O c. f is continuous at c<br>d. f is discontinuous every where<br>

Extracted text: Q4) Let X={a, b, c, d} with the topology T={Ø, X, {a}, {b}, {a,b}, {b,c,d}}. Let f: (X,T)→(X,T) such that f(a)=f(c)=Db, f(b)%3Dd and f(d)=c. Then O a. f is continuous at d b. f is continuous on X O c. f is continuous at c d. f is discontinuous every where

Jun 05, 2022

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Q4) Let X={a, b, c, d} with the topology T={Ø, X, {a}, {b}, {a,b}, {b,c,d}}. Let f: (X,T)→(X,T) such that f(a)=f(c)=Db, f(b)%3Dd and f(d)=c. Then O a. f is continuous at d b. f is continuous on X O c....

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