ArzelaAscoli proof of the easy direction

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In this lecture Roland Speicher (Saarland University) discusses and proves the Theorem of Arzela-Ascoli, which characterises compact subsets of the Banach space of continuous functions on the unit interval. • The lecture is divided into 8 small videos; in this 4th one, the proof for the easy direction - that compact implies closed, bounded, and in particular equicontinuous - is 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