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Varieties of Coarse Spaces
Version 1
: Received: 27 March 2018 / Approved: 30 March 2018 / Online: 30 March 2018 (04:49:57 CEST)
A peer-reviewed article of this Preprint also exists.
Protasov, I. Varieties of Coarse Spaces. Axioms 2018, 7, 32. Protasov, I. Varieties of Coarse Spaces. Axioms 2018, 7, 32.
Journal reference: Axioms 2018, 7, 32
DOI: 10.3390/axioms7020032
Abstract
A class of coarse spaces is called a variety if is closed under formation of subspaces, coarse images and products. We classify the varieties of coarse spaces and, in particular, show that if a variety contains an unbounded metric space then is the variety of all coarse spaces.
Keywords
coarse structure; coarse space; ballean; varieties of coarse spaces
Subject
MATHEMATICS & COMPUTER SCIENCE, Geometry & Topology
Copyright: 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.
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