✦ LIBER ✦

On the Lebesgue function of open coverings

✍ Scribed by Pavel V. Semenov

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 65 KB
Volume: 107
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00110-8

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✦ Synopsis

An approximation theorem for an upper semicontinuous mapping F from an arbitrary (not necessarily ANR) metric space X is proved, under certain control on degree of nonconvexity of values F (x), x ∈ X. The proof uses a generalization of the lemma on the Lebesgue number of a covering for the noncompact case.

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