A $C_0$ coarse structure for families of pseudometrics and the Higson-Roe functor

Jesús P. Moreno-Damas

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arXiv · 1410.2756

A $C_0$ coarse structure for families of pseudometrics and the Higson-Roe functor

Jesús P. Moreno-Damas

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Abstract

This paper deepens into the relations between coarse spaces and compactifications, by defining a $C_0$ coarse structure attached to a family of pseudometrics. This definition allow us to give a more topological point of view on the relations between coarse structures and compactifications ---like the Higson-Roe compactification, corona and functor and the topological coarse structure attached to a compactification---, define new functors and giving new relations between them, in particular, some equivalences of categories.

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BibTeX RIS

Jesús P. Moreno-Damas. 2014-10-10. A $C_0$ coarse structure for families of pseudometrics and the Higson-Roe functor. https://arxiv.org/abs/1410.2756

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