Decompositions of set-valued mappings

• Datum: 2021
• 1. Verfasser: Protasov, I.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2021
• Schlagworte: set-valued mapping; selector; ballean; 03E05; 54E05
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1485
• Назва журналу: Algebra and Discrete Mathematics

Let \(X\) be a set, \(B_{X}\) denotes the family of all subsets of \(X\) and \(F: X \to B_{X}\) be a set-valued mapping such that \(x \in F(x)\), \(\sup_{x\in X} | F(x)|< \kappa\), \(\sup_{x\in X} | F^{-1}(x)|< \kappa\) for all \(x\in X\) and some infinite cardinal \(\kappa\). Then the...