Discreteness and Large Scale Surjections
Geometric Topology
2015-08-13 v1
Abstract
We study the concept of coarse disjointness and large scale -to- functions. As a byproduct, we obtain an Ostrand-type characterization of asymptotic dimension for coarse structures. It is shown that properties like finite asymptotic dimension, coarse finitism, large scale weak paracompactness, ect. are all invariants of coarsely -to- functions. Metrizability of large scale structures is also investigated.
Cite
@article{arxiv.1508.02996,
title = {Discreteness and Large Scale Surjections},
author = {Kyle Austin},
journal= {arXiv preprint arXiv:1508.02996},
year = {2015}
}