On a simultaneous selection theorem
Volume 215 / 2013
Studia Mathematica 215 (2013), 1-9
MSC: Primary 54C65; Secondary 54C60, 46E40, 46G10.
DOI: 10.4064/sm215-1-1
Abstract
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.
