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SOLVED: Let (S,d) be a compact metric space (not necessarily in R 0 Rk and let Fi 2 F2 2 F3 2 be a non-increasing sequence of nonempty closed sets Fn Show
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![SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact](https://cdn.numerade.com/ask_images/a93ccef562ef4db9a507dffa74b4fc12.jpg "SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact")
SOLVED: Compactness Chapter 3-6: Connectedness 5 172 subset of R is compact in the topology Jf. (See Show that every Example € of R in the topology 6, Is [0, 1] compact
Show that in any metric space, a compact set is bounded. Solution.pdf
