Decompositions of set-valued mappings

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...

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Bibliographic Details
Date:2021
Main Author: Protasov, I.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2021
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1485
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics