On a simultaneous selection theorem

Tom 215 / 2013

Takamitsu Yamauchi Studia Mathematica 215 (2013), 1-9 MSC: Primary 54C65; Secondary 54C60, 46E40, 46G10. DOI: 10.4064/sm215-1-1

Streszczenie

Valov proved a general version of Arvanitakis's simultaneous selection theorem which is a common generalization of both Michael's selection theorem and Dugundji's extension theorem. We show that Valov's theorem can be extended by applying an argument by means of Pettis integrals due to Repovš, Semenov and Shchepin.

Autorzy

  • Takamitsu YamauchiDepartment of Mathematics
    Shimane University
    Matsue, 690-8504, Japan
    e-mail

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