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Axioms 2018, 7(2), 32; https://doi.org/10.3390/axioms7020032

Varieties of Coarse Spaces

Faculty of Computer Science and Cybernetics, Kyiv University, Academic Glushkov pr. 4d, 03680 Kyiv, Ukraine
Received: 27 March 2018 / Revised: 22 April 2018 / Accepted: 10 May 2018 / Published: 14 May 2018
(This article belongs to the Collection Topological Groups)
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Abstract

A class M of coarse spaces is called a variety if M is closed under the formation of subspaces, coarse images, and products. We classify the varieties of coarse spaces and, in particular, show that if a variety M contains an unbounded metric space then M is the variety of all coarse spaces. View Full-Text
Keywords: coarse structure; coarse space; ballean; varieties of coarse spaces coarse structure; coarse space; ballean; varieties of coarse spaces
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Protasov, I. Varieties of Coarse Spaces. Axioms 2018, 7, 32.

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