Viewing topic: Lebesgue Number Lemma

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Lebesgue Number Lemma

  • Definition: Let A be an open covering of the metric space (X, d). If X is compact, there is y > 0 such that for each subset of X having diameter less than y, there exists an element of A containing it. The number y is called a Lebesgue number for the covering A.

    Source: Topology (second edition) by James R. Munkres

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