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Open AccessArticle

Varieties of Coarse Spaces

Faculty of Computer Science and Cybernetics, Kyiv University, Academic Glushkov pr. 4d, 03680 Kyiv, Ukraine
Axioms 2018, 7(2), 32; https://doi.org/10.3390/axioms7020032
Received: 27 March 2018 / Revised: 22 April 2018 / Accepted: 10 May 2018 / Published: 14 May 2018
(This article belongs to the Collection Topological Groups)
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
MDPI and ACS Style

Protasov, I. Varieties of Coarse Spaces. Axioms 2018, 7, 32.

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