Stable components and layers
Algebraic Topology
2020-09-09 v2 Combinatorics
Abstract
Component graphs are defined for arrays of sets , and in particular for arrays of path components for Vietoris-Rips complexes and Lesnick complexes. The path components of are the {\it stable components} of the array . The stable components for the system of Lesnick complexes for a finite data set decompose into layers, which are themselves path components of a graph. Combinatorial scoring functions are defined for layers and stable components.
Cite
@article{arxiv.1905.05788,
title = {Stable components and layers},
author = {J. F. Jardine},
journal= {arXiv preprint arXiv:1905.05788},
year = {2020}
}
Comments
17 pages, 1 figure