A Second Homotopy Group for Digital Images
Algebraic Topology
2023-10-18 v2
Abstract
We define a second (higher) homotopy group for digital images. Namely, we construct a functor from digital images to abelian groups, which closely resembles the ordinary second homotopy group from algebraic topology. We illustrate that our approach can be effective by computing this (digital) second homotopy group for a digital 2-sphere.
Keywords
Cite
@article{arxiv.2310.08706,
title = {A Second Homotopy Group for Digital Images},
author = {Gregory Lupton and Oleg Musin and Nicholas A. Scoville and P. Christopher Staecker and Jonathan Treviño-Marroquín},
journal= {arXiv preprint arXiv:2310.08706},
year = {2023}
}
Comments
32 pages, 10 figures