Premium
A UNIFIED APPROACH TO CONTINUOUS, MEASURABLE SELECTIONS, AND SELECTIONS FOR HYPERSPACES
Author(s) -
Mavridis Fotis H.
Publication year - 2018
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579318000141
Subject(s) - mathematics , selection (genetic algorithm) , set (abstract data type) , fundamental theorem , discrete mathematics , mathematical economics , artificial intelligence , fixed point theorem , computer science , programming language
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 as a known selection theorem for hyperspaces.