Nonstandard methods in large-scale topology II

Takuma Imamura

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arXiv · 2002.12803

Nonstandard methods in large-scale topology II

Takuma Imamura

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Abstract

This paper is a sequel of Imamura (2019) (arXiv:1711.01609) where we set up a framework of nonstandard large-scale topology. In the present paper, we apply our framework to various topics in large-scale topology: spaces having with both small-scale and large-scale structures, large-scale structures on nonstandard extensions, size properties of subsets of coarse spaces, and coarse hyperspaces.

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Takuma Imamura. 2020-02-28. Nonstandard methods in large-scale topology II. https://arxiv.org/abs/2002.12803

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