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
id nasplib_isofts_kiev_ua-123456789-169407
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
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Constructing balleans
spellingShingle Constructing balleans
Banakh, T.
Protasov, I.
title_short Constructing balleans
title_full Constructing balleans
title_fullStr Constructing balleans
title_full_unstemmed Constructing balleans
title_sort constructing balleans
author Banakh, T.
Protasov, I.
author_facet Banakh, T.
Protasov, I.
publishDate 2018
language Russian
container_title Український математичний вісник
publisher Інститут прикладної математики і механіки НАН України
format Article
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.
issn 1810-3200
url https://nasplib.isofts.kiev.ua/handle/123456789/169407
citation_txt Constructing balleans / T. Banakh, I. Protasov // Український математичний вісник. — 2018. — Т. 15, № 3. — С. 321-331. — Бібліогр.: 11 назв. — англ.
work_keys_str_mv AT banakht constructingballeans
AT protasovi constructingballeans
first_indexed 2025-12-07T18:20:36Z
last_indexed 2025-12-07T18:20:36Z
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