Parsimonious cones
Geometric Topology
2022-11-29 v1
Abstract
We construct embeddings of simplicial complexes into a (surface of a) simplicial ball whose triangulation has bounded degrees and low volume. This construction can be used either to efficiently "simplify a complicated space" by realizing it as a part of a ball/sphere, or to "complexify" a sphere - to give it a specific metric that inherits desired properties from an embedded complex.
Cite
@article{arxiv.2211.14675,
title = {Parsimonious cones},
author = {Aleksandr Berdnikov},
journal= {arXiv preprint arXiv:2211.14675},
year = {2022}
}