The comb-like representations of cellular ordinal balleans
Given two ordinal λ and γ, let f:[0,λ)→[0,γ) be a function such that, for each α<γ, sup{f(t):t∈[0,α]}<γ. We define a mapping df:[0,λ)×[0,λ)⟶[0,γ) by the rule: if x<y then df(x,y)=df(y,x)=sup{f(t):t∈(x,y]}, d(x,x)=0. The pair ([0,λ),df) is called a γ−comb defined by f. We show t...
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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/155256 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The comb-like representations of cellular ordinal balleans / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 2. — С. 282-286. — Бібліогр.: 8 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862535192984420352 |
|---|---|
| author | Protasov, I. Protasova, K. |
| author_facet | Protasov, I. Protasova, K. |
| citation_txt | The comb-like representations of cellular ordinal balleans / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 2. — С. 282-286. — Бібліогр.: 8 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | Given two ordinal λ and γ, let f:[0,λ)→[0,γ) be a function such that, for each α<γ, sup{f(t):t∈[0,α]}<γ. We define a mapping df:[0,λ)×[0,λ)⟶[0,γ) by the rule: if x<y then df(x,y)=df(y,x)=sup{f(t):t∈(x,y]}, d(x,x)=0. The pair ([0,λ),df) is called a γ−comb defined by f. We show that each cellular ordinal ballean can be represented as a γ−comb. In General Asymptology, cellular ordinal balleans play a part of ultrametric spaces.
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| first_indexed | 2025-11-24T09:18:50Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155256 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T09:18:50Z |
| publishDate | 2016 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Protasov, I. Protasova, K. 2019-06-16T14:51:28Z 2019-06-16T14:51:28Z 2016 The comb-like representations of cellular ordinal balleans / I. Protasov, K. Protasova // Algebra and Discrete Mathematics. — 2016. — Vol. 21, № 2. — С. 282-286. — Бібліогр.: 8 назв. — англ. 1726-3255 2010 MSC:54A05, 54E15, 54E30. https://nasplib.isofts.kiev.ua/handle/123456789/155256 Given two ordinal λ and γ, let f:[0,λ)→[0,γ) be a function such that, for each α<γ, sup{f(t):t∈[0,α]}<γ. We define a mapping df:[0,λ)×[0,λ)⟶[0,γ) by the rule: if x<y then df(x,y)=df(y,x)=sup{f(t):t∈(x,y]}, d(x,x)=0. The pair ([0,λ),df) is called a γ−comb defined by f. We show that each cellular ordinal ballean can be represented as a γ−comb. In General Asymptology, cellular ordinal balleans play a part of ultrametric spaces. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The comb-like representations of cellular ordinal balleans Article published earlier |
| spellingShingle | The comb-like representations of cellular ordinal balleans Protasov, I. Protasova, K. |
| title | The comb-like representations of cellular ordinal balleans |
| title_full | The comb-like representations of cellular ordinal balleans |
| title_fullStr | The comb-like representations of cellular ordinal balleans |
| title_full_unstemmed | The comb-like representations of cellular ordinal balleans |
| title_short | The comb-like representations of cellular ordinal balleans |
| title_sort | comb-like representations of cellular ordinal balleans |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155256 |
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