3 papers
math.AT2024
Digital Manifolds With Or Without Boundaries
Melih Ä°s, Ä°smet Karaca
This work aims to define the concept of manifold, which has a very important place in the topology, on digital images. So, a general perspective is provided for two and three-dimen…
math.AT2024
homotopic Distances in Digital Images
Melih Ä°s, Ä°smet Karaca
We define digital homotopic distance and its higher version. We also mention related notions such as category in the sense of Lusternik-Schnirelmann and complexity in t…
math.AT2024
Discrete Topological Complexities of Simplical Maps
Melih Ä°s, Ä°smet Karaca
In this study, we delve into the discrete TC of surjective simplicial fibrations, aiming to unravel the interplay between topological complexity, discrete geometric structures, and…