Decompositions of set-valued mappings

• Видавець: Lugansk National Taras Shevchenko University
• Дата: 2021
• Автор: Protasov, I.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2021
• Теми: set-valued mapping; selector; ballean; 03E05; 54E05
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1485

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...