On a simultaneous selection theorem
Studia Mathematica, Tome 215 (2013) no. 1, pp. 1-9

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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.
DOI : 10.4064/sm215-1-1
Keywords: valov proved general version arvanitakiss simultaneous selection theorem which common generalization michaels selection theorem dugundjis extension theorem valovs theorem extended applying argument means pettis integrals due repov semenov shchepin

Takamitsu Yamauchi 1

1 Department of Mathematics Shimane University Matsue, 690-8504, Japan
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Takamitsu Yamauchi. On a simultaneous selection theorem. Studia Mathematica, Tome 215 (2013) no. 1, pp. 1-9. doi: 10.4064/sm215-1-1

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