Dae-Woong Lee

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math.AT2025

Homotopy equivalence of digital pictures in $Z^{2}$

Dae-Woong Lee, P. Christopher Staecker

We investigate the properties of digital homotopy in the context of digital pictures $(X, I^º, I^ˉ º)$ , where $X ⊊ Z^{n}$ is a finite set, $I^º$ is an adjacency relation on $X…

math.AT2024

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…

Homotopy equivalence of digital pictures in Z2

On digital H-spaces

Homotopy equivalence of digital pictures in $Z^{2}$