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math.AT2026
Computability of digital cubical singular homology of -digital images
Samira Sahar Jamil, P Christopher Staecker, Danish Ali
Discrete cubical homology arose as the homology theory associated with discrete cubical homotopy theory. Despite the combinatorial nature of this homology, its computation has pose…
math.AT2025
Homotopy equivalence of digital pictures in
Dae-Woong Lee, P. Christopher Staecker
We investigate the properties of digital homotopy in the context of digital pictures , where is a finite set, is an adjacency relation on $X…
math.AT2025
The Face Group of a Simplicial Complex
Gregory Lupton, Nicholas A. Scoville, P. Christopher Staecker
The edge group of a simplicial complex is a well-known, combinatorial version of the fundamental group. It is a group associated to a simplicial complex that consists of equivalenc…