A selection theorem for Banach bundles and applications
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.02.008
Abstract: It is shown that certain lower semi-continuous maps from a paracompact space to the family of closed subsets of the bundle space of a Banach bundle admit continuous selections. This generalization of the theorem of… read more here.
Keywords: selection theorem; applications selection; theorem banach; banach ... See more keywords
A UNIFIED APPROACH TO CONTINUOUS, MEASURABLE SELECTIONS, AND SELECTIONS FOR HYPERSPACES
Sign Up to like & getrecommendations! Published in 2018 at "Mathematika"
DOI: 10.1112/s0025579318000141
Abstract: In this paper we provide a unified approach, based on methods of descriptive set theory, for proving some classical selection theorems. Among them is the zero-dimensional Michael selection theorem, the Kuratowski–Ryll-Nardzewski selection theorem, as well… read more here.
Keywords: selection theorem; approach continuous; approach; continuous measurable ... See more keywords