2018/12/10 by Тарас Банах, Taras Banakh, Banakh, Taras +3
Computer Science · Mathematics · #Advanced Algebra and Logic #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Rings, Modules, and Algebras #math.GN
paper · pdf · doi:10.48550/arxiv.1812.03935
Ballean, coarse structure, bornology, bornological product, fan, attachment
openalex publication_date 2018/12/10 · arxiv created 2019/01/15 · arxiv updated 2019/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.