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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Date: | 2018 |
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Main Authors: | , |
Format: | Article |
Language: | Russian |
Published: |
Інститут прикладної математики і механіки НАН України
2018
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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. |