Generalisations of coarse spaces

Nicolò Zava

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arXiv · 1805.11034

Generalisations of coarse spaces

Nicolò Zava

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Abstract

Coarse geometry, the branch of topology that studies the global properties of spaces, was originally developed for metric spaces and then Roe introduced coarse structures as a large-scale counterpart of uniformities. In the literature, there are very important generalisations of uniform spaces, such as semi-uniform and quasi-uniform spaces. In this paper, we introduce and start to study their large-scale counterparts, which generalise coarse spaces: semi-coarse spaces and quasi-coarse spaces.

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Nicolò Zava. 2018-05-28. Generalisations of coarse spaces. https://arxiv.org/abs/1805.11034

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