A Second Homotopy Group for Digital Images
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2023
- DOI:
- arXiv:
- arXiv:2310.08706
- Bibcode:
- 2023arXiv231008706L
- Keywords:
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- Mathematics - Algebraic Topology;
- 55Q99 68U10 68R99
- E-Print:
- 32 pages, 10 figures