Constructing balleans

Taras Banakh; Igor Protasov

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arXiv · 1812.03935

Constructing balleans

Taras Banakh·Igor Protasov

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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 the smallest and the largest coarse structures on a set $X$ compatible with a given bornology on $X$.

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Taras Banakh, Igor Protasov. 2018-12-10. Constructing balleans. https://arxiv.org/abs/1812.03935

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