Protasov, I. Varieties of Coarse Spaces. Axioms2018, 7, 32.
Protasov, I. Varieties of Coarse Spaces. Axioms 2018, 7, 32.
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.
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.