Metrizable ball structures

• Дата: 2018
• Автор: Protasov, I. V.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2018
• Теми: ball structure; ball isomorphism; metrizablility; 54E35; 05C75
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1152
• Назва журналу: Algebra and Discrete Mathematics

A ball structure is a triple \((X,P,B)\), where \(X\), \(P\) are nonempty sets and, for any \(x\in X\), \(\alpha\in P\), \(B(x,\alpha)\) is a subset of \(X\), \(x\in B(x,\alpha)\), which is called a ball of radius \(\alpha\) around \(x\). We characterize up to isomorphism the ball structures related...