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On sums of Lebesgue function type

✍ Scribed by P. Vértesi


Publisher
Akadmiai Kiad
Year
1982
Tongue
English
Weight
442 KB
Volume
40
Category
Article
ISSN
1588-2632

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On the Lebesgue function of open coverin
✍ Pavel V. Semenov 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 65 KB

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 noncompac