Abstract
A coarse space X endowed with a linear order compatible with the coarse structure of X is called linearly ordered. We prove that every linearly ordered coarse space X is locally convex and the asymptotic dimension of X is either 0 or 1. If X is metrizable, then the family of all right bounded subsets of X has a selector.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have