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arxiv: 1812.03935 · v2 · pith:KO72JFHAnew · submitted 2018-12-10 · 🧮 math.GN

Constructing balleans

classification 🧮 math.GN
keywords balleanscoarseanalyzeballeanbornologicalbornologybouquetscombs
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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 the smallest and the largest coarse structures on a set $X$ compatible with a given bornology on $X$.

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