Corpus ID: 195767566

The two digital homology theories

  title={The two digital homology theories},
  author={P. C. Staecker},
  journal={arXiv: Algebraic Topology},
In this paper we prove results relating to four homology theories developed in the topology of digital images: a simplicial homology theory by Arslan et al which is the homology of the clique complex, a singular simplicial homology theory by Lee, a cubical homology theory by Jamil and Ali, and a new kind of cubical homology for digital images with $c_1$-adjacency which is easily computed, and generalizes a construction by Karaca & Ege. We show that the two simplicial homology theories are… Expand


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