Compact Metric Space | Analysis | BSc Mathematics

In this lecture, we have discussed compact metric space. We have prove the following results

X is compact if and only if every sequence of point in X has a subsequence converging to a point in X
If X is compact and A is closed subset of X then A is compact
If X is compact then X is closed.
If X is compact then X is closed and bounded
If A is subset of real line then A is compact if and only if A is closed and bounded.

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