Corpus ID: 67856473

Strong homotopy of digitally continuous functions

@article{Staecker2019StrongHO,
  title={Strong homotopy of digitally continuous functions},
  author={P. C. Staecker},
  journal={ArXiv},
  year={2019},
  volume={abs/1903.00706}
}
We introduce a new type of homotopy relation for digitally continuous functions which we call ``strong homotopy.'' Both digital homotopy and strong homotopy are natural digitizations of classical topological homotopy: the difference between them is analogous to the difference between digital 4-adjacency and 8-adjacency in the plane. We explore basic properties of strong homotopy, and give some equivalent characterizations. In particular we show that strong homotopy is related to ``punctuated… Expand
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