In a discrete metric space, every set is
(a). Open
(b) Closed
(c) both (a) and (b)
(d) none
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the answer will be c. both open and closed ....
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The answer is option (c) that is both (a) and (b).
- Derived set of any set of a discrete metric space is an empty space.
- If X is the limit point of a set A of a metric space then each neighbourhood of X contains infinite points of set A.
- Every set or subset of discrete metric space is open as well as closed.
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