The Digital Hopf Construction
Algebraic Topology
2020-02-11 v1 Combinatorics
Abstract
Various concepts and constructions in homotopy theory have been defined in the digital setting. Although there have been several attempts at a definition of a fibration in the digital setting, robust examples of these digital fibrations are few and far between. In this paper, we develop a digital Hopf fibration within the category of tolerance spaces. By widening our category to that of tolerance spaces, we are able to give a construction of this digital Hopf fibration which mimics the smooth setting.
Cite
@article{arxiv.2002.03027,
title = {The Digital Hopf Construction},
author = {Gregory Lupton and John Oprea and Nicholas A. Scoville},
journal= {arXiv preprint arXiv:2002.03027},
year = {2020}
}