Some results about the Tight Span of spheres
Metric Geometry
2021-12-24 v1 Algebraic Topology
Abstract
The smallest hyperconvex metric space containing a given metric space X is called the tight span of X. It is known that tight spans have many nice geometric and topological properties, and they are gradually becoming a target of research of both the metric geometry community and the topological/geometric data analysis community. In this paper, we study the tight span of n-spheres (with either geodesic metric or l infinity-metric).
Keywords
Cite
@article{arxiv.2112.12646,
title = {Some results about the Tight Span of spheres},
author = {Sunhyuk Lim and Facundo Memoli and Zhengchao Wan and Qingsong Wang and Ling Zhou},
journal= {arXiv preprint arXiv:2112.12646},
year = {2021}
}