Borel measurable selections and applications of the boundedness principle
type: Item
instance of: scholarly article
title: Borel measurable selections and applications of the boundedness principle
zbMATH Open document ID: 0779.28007
author: Glen A. Schlee
author: R. Daniel Mauldin
published in: Real Analysis Exchange
publication date: 1992-06-28T00:00:00Z
review text: The authors present some applications of the boundedness principle for monotone coanalytic operators. In particular, they apply it to give proofs for results of Novikov and Saint-Raymond concerning Borel subsets of a product space with countable or \(F_ \sigma\) fibers. Several related results are also discussed.
Mathematics Subject Classification ID: 28B20
zbMATH DE Number: 31356
zbMATH Keywords: parametrization
zbMATH Keywords: \(\sigma\)-compact faithful separation
zbMATH Keywords: measurable multifunctions
zbMATH Keywords: Borel measurable selections
zbMATH Keywords: boundedness principle
zbMATH Keywords: monotone coanalytic operators
zbMATH Keywords: Borel subsets of a product space
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 31356