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![SOLVED: The usual topology on the set R of real numbers is the topology whose basis consists of all possible segments. Open sets therefore consist of the empty set, the set R, SOLVED: The usual topology on the set R of real numbers is the topology whose basis consists of all possible segments. Open sets therefore consist of the empty set, the set R,](https://cdn.numerade.com/ask_previews/74f3e4c7-a651-412b-9b17-51552e6faef5_large.jpg)
SOLVED: The usual topology on the set R of real numbers is the topology whose basis consists of all possible segments. Open sets therefore consist of the empty set, the set R,
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SOLVED: 2.36 Theorem If Ka is a collection of compact subsets of a metric space X such that the intersection of every finite subcollection of Ka is nonempty, then () K is
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![SOLVED: 1.5.7 Prove the following separately Theorem 1.5.10. Let (Xd) be a metric space. (a) If Y is a compact subset of X, and Z ∈ Y, then Z is compact if SOLVED: 1.5.7 Prove the following separately Theorem 1.5.10. Let (Xd) be a metric space. (a) If Y is a compact subset of X, and Z ∈ Y, then Z is compact if](https://cdn.numerade.com/ask_images/4ba6ec441a544f40b688f48733df09e2.jpg)