Discussion :: GATE Mathematics
- Let S = {z ∈ ℂ∶ |z|=1} with the induced topology from ℂ and let f:[0,2] → S be defined as f(t) = e2πit. Then, which of the following is TRUE?
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A.
K is closed in [0,2] ==> f(K)is closed in S
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B.
U is open in [0,2] ==> f(U) is open in S
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C.
f(X) is closed in S ==> X is closed in [0,2]
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D.
f(Y) is open in S ==> Y is open in [0,2]
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Answer : Option A
Explanation :
-NA-
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