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Let AAA be a Metric Space. AAA is said to be separable if ∃X:=(Xn)n≥1⊂A\exists X:=(X_{n})_{n\ge 1}\subset A∃X:=(Xn)n≥1⊂A where XXX is Dense in AAA. i.e. there exists a Dense, countable subset of A.
Every Compact Metric Space is .
Polish space
Prokhorov's Theorem
Totally Bounded