23 citations · 61 across the 30 of their papers we have counts for
15 papers · 1 filter
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 ,…
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…
On digital H-spaces
Wayne A. Johnson, Dae-Woong Lee, P. Christopher Staecker
In this article, we investigate properties of digital H-spaces in the graph theoretic model of digital topology. As in prior work, the results obtained often depend fundamentally o…
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…
The Reidemeister Trace of an -valued map
P. Christopher Staecker
In topological fixed point theory, the Reidemeister trace is an invariant associated to a selfmap of a polyhedron which combines information from the Lefschetz and Nielsen numbers.…
Digital homotopy relations and digital homology theories
P. Christopher Staecker
In this paper we prove results relating to two homotopy relations and four homology theories developed in the topology of digital images. We introduce a new type of homotopy relati…