Constructing balleans

• 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
• 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.

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.