On a simultaneous selection theorem

Takamitsu Yamauchi. "On a simultaneous selection theorem." Studia Mathematica 215.1 (2013): 1-9. <http://eudml.org/doc/285541>.

@article{TakamitsuYamauchi2013,
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.},
author = {Takamitsu Yamauchi},
journal = {Studia Mathematica},
keywords = {set-valued mapping; continuous selection; milyutin mapping; Pettis integral},
language = {eng},
number = {1},
pages = {1-9},
title = {On a simultaneous selection theorem},
url = {http://eudml.org/doc/285541},
volume = {215},
year = {2013},
}

TY - JOUR
AU - Takamitsu Yamauchi
TI - On a simultaneous selection theorem
JO - Studia Mathematica
PY - 2013
VL - 215
IS - 1
SP - 1
EP - 9
AB - 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.
LA - eng
KW - set-valued mapping; continuous selection; milyutin mapping; Pettis integral
UR - http://eudml.org/doc/285541
ER -