Remarks on the existence of measurable selectors

TL;DR

This paper discusses generalizations of the Kuratowski and Ryll-Nardzewski Selection Theorem, which provides conditions for the existence of measurable selectors for multifunctions in measure theory.

Contribution

It introduces new generalizations of the classical theorem, broadening the conditions under which measurable selectors can be guaranteed.

Findings

Extended the classical theorem to more general settings

Identified new sufficient conditions for measurable selectors

Enhanced understanding of multifunction measurability

Abstract

A classical theorem from measure theory that gives a sufficient condition for a multifunction to have a measurable selection is Kuratowski and Ryll-Nardzewski Selection Theorem. The aim of this paper is to show some generalizations of this result.