If K1 and K2 are disjoint nonempty compact sets, show that there exist ki Ki such

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If K1 and K2 are disjoint nonempty compact sets, show that there exist ki ∈ Ki such that 0 < |k1 - k2| = inf{x1 - x2| : xi ∈ Ki}.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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