Constructing balleans

A ballean is a set endowed with a coarse structure.We introduce and explore three constructions of balleans from a pregiven family of balleans: bornological products, bouquets, and combs. We analyze also the smallest and largest coarse structures on a set X compatible with a given bornology on X.

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Bibliographic Details
Published in:Український математичний вісник
Date:2018
Main Authors: Banakh, T., Protasov, I.
Format: Article
Language:Russian
Published: Інститут прикладної математики і механіки НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/169407
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Constructing balleans / T. Banakh, I. Protasov // Український математичний вісник. — 2018. — Т. 15, № 3. — С. 321-331. — Бібліогр.: 11 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Banakh, T.
Protasov, I.
author_facet Banakh, T.
Protasov, I.
citation_txt Constructing balleans / T. Banakh, I. Protasov // Український математичний вісник. — 2018. — Т. 15, № 3. — С. 321-331. — Бібліогр.: 11 назв. — англ.
collection DSpace DC
container_title Український математичний вісник
description A ballean is a set endowed with a coarse structure.We introduce and explore three constructions of balleans from a pregiven family of balleans: bornological products, bouquets, and combs. We analyze also the smallest and largest coarse structures on a set X compatible with a given bornology on X.
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format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1810-3200
language Russian
last_indexed 2025-12-07T18:20:36Z
publishDate 2018
publisher Інститут прикладної математики і механіки НАН України
record_format dspace
spelling Banakh, T.
Protasov, I.
2020-06-12T17:36:12Z
2020-06-12T17:36:12Z
2018
Constructing balleans / T. Banakh, I. Protasov // Український математичний вісник. — 2018. — Т. 15, № 3. — С. 321-331. — Бібліогр.: 11 назв. — англ.
1810-3200
2010 MSC. 54E35
https://nasplib.isofts.kiev.ua/handle/123456789/169407
A ballean is a set endowed with a coarse structure.We introduce and explore three constructions of balleans from a pregiven family of balleans: bornological products, bouquets, and combs. We analyze also the smallest and largest coarse structures on a set X compatible with a given bornology on X.
ru
Інститут прикладної математики і механіки НАН України
Український математичний вісник
Constructing balleans
Article
published earlier
spellingShingle Constructing balleans
Banakh, T.
Protasov, I.
title Constructing balleans
title_full Constructing balleans
title_fullStr Constructing balleans
title_full_unstemmed Constructing balleans
title_short Constructing balleans
title_sort constructing balleans
url https://nasplib.isofts.kiev.ua/handle/123456789/169407
work_keys_str_mv AT banakht constructingballeans
AT protasovi constructingballeans