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arXiv · 2310.08706

A Second Homotopy Group for Digital Images

Gregory Lupton·Oleg Musin·Nicholas A. Scoville·P. Christopher Staecker·Jonathan Treviño-Marroquín
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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.

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Gregory Lupton, Oleg Musin, Nicholas A. Scoville, P. Christopher Staecker, Jonathan Treviño-Marroquín. 2023-10-12. A Second Homotopy Group for Digital Images. https://arxiv.org/abs/2310.08706

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