GATE MA 2020 MA Q35: Real Analysis

Suppose that

and

are metric spaces with metrics induced by the Euclidean metric of

. Let

and

be the open unit balls around

and

, respectively. Consider the following statements: I: The closure of

is compact. II: The closure of

is compact. Then

Your answerChoose one option.

both I and II are true

I is true but II is false

I is false but II is true

both I and II are false

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