Email this article Constructing balleans
- Authors: Banakh T.O.1,2, Protasov I.3
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Affiliations:
- Jan Kochanowski University in Kielce
- Ivan Franko National University of Lviv
- Faculty of Computer Science and Cybernetics of Taras Shevchenko National University of Kyiv
- Issue: Vol 241, No 1 (2019)
- Pages: 19-26
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242851
- DOI: https://doi.org/10.1007/s10958-019-04403-w
- ID: 242851
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Abstract
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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About the authors
Taras O. Banakh
Jan Kochanowski University in Kielce; Ivan Franko National University of Lviv
Author for correspondence.
Email: t.o.banakh@gmail.com
Poland, Kielce; Lviv
Igor Protasov
Faculty of Computer Science and Cybernetics of Taras Shevchenko National University of Kyiv
Email: t.o.banakh@gmail.com
Ukraine, Kyiv
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