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
Date:2018
Main Authors: Banakh, T., Protasov, I.
Format: Article
Language:Russian
Published: Інститут прикладної математики і механіки НАН України 2018
Series:Український математичний вісник
Online Access:http://dspace.nbuv.gov.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.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine