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arXiv · 1702.07941

On hyperballeans of bounded geometry

Igor Protasov·Ksenia Protasova
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Abstract

A ballean (or coarse structure) is a set endowed with some family of subsets, the balls, is such a way that balleans with corresponding morphisms can be considered as asymptotic counterparts of uniform topological spaces. For a ballean $\mathcal{B}$ on a set $X$, the hyperballean $\mathcal{B}^{\flat}$ is a ballean naturally defined on the set $X^{\flat}$ of all bounded subsets of $X$. We describe all balleans with hyperballeans of bounded geometry and analyze the structure of these hyperballeans.

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Igor Protasov, Ksenia Protasova. 2017-02-25. On hyperballeans of bounded geometry. https://arxiv.org/abs/1702.07941

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