The comb-like representations of cellular ordinal balleans

• Date: 2016
• Main Authors: Protasov, Igor, Protasova, Ksenia
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2016
• Subjects: ultrametric space; cellular ballean; ordinal ballean; \((\lambda,\gamma)-\)comb; 54A05; 54E15; 54E30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/200
• Journal Title: Algebra and Discrete Mathematics

Given two ordinal \(\lambda\) and \(\gamma\), let \(f:[0,\lambda) \rightarrow [0,\gamma)\) be a function such that, for each  \(\alpha<\gamma\), \(\sup\{f(t): t\in[0, \alpha]\}<\gamma.\) We define a mapping \(d_{f}: [0,\lambda)\times [0,\lambda) \longrightarrow [0,\gamma)\) by the rule...