Metric 1-spaces
Metric Geometry
2012-01-20 v1
Abstract
A generalization of metric space is presented which is shown to admit a theory strongly related to that of ordinary metric spaces. To avoid the topological effects related to dropping any of the axioms of metric space, first a new, and equivalent, axiomatization of metric space is given which is then generalized from a fresh point of view. Naturally arising examples from metric geometry are presented.
Cite
@article{arxiv.1201.3980,
title = {Metric 1-spaces},
author = {Ittay Weiss},
journal= {arXiv preprint arXiv:1201.3980},
year = {2012}
}