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arXiv · 2002.03027

The Digital Hopf Construction

Gregory Lupton·John Oprea·Nicholas A. Scoville
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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.

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Gregory Lupton, John Oprea, Nicholas A. Scoville. 2020-02-07. The Digital Hopf Construction. https://arxiv.org/abs/2002.03027

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