Constructing balleans


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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.

作者简介

Taras Banakh

Jan Kochanowski University in Kielce; Ivan Franko National University of Lviv

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Email: t.o.banakh@gmail.com
波兰, Kielce; Lviv

Igor Protasov

Faculty of Computer Science and Cybernetics of Taras Shevchenko National University of Kyiv

Email: t.o.banakh@gmail.com
乌克兰, Kyiv

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