Metrizable ball structures
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...
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1152 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| Резюме: | 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 to the metric spaces of different types and groups. |
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