The Digital Hopf Construction
Topology and Its Applications
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 that mimics the smooth setting.
Lupton, Gregory; Oprea, John F.; and Scoville, Nicholas A., "The Digital Hopf Construction" (2023). Mathematics Faculty Publications. 356.