Homotopic properties of KA-digitizations of n-dimensional Euclidean spaces
Sign Up to like & getrecommendations! Published in 2019 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hujms.546983
Abstract: For $X (\subset R^n)$, assume the subspace $(X, E_X^n)$ induced by the $n$-dimensional Euclidean topological space $(R^n, E^n)$. Let $Z$ be the set of integers. Khalimsky topology on $Z$, denoted by $(Z, \kappa)$, is generated… read more here.
Keywords: homotopy; topology; homotopic properties; dimensional euclidean ... See more keywords
Subdivision-based homotopy equivalence of digital circles
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DOI: 10.4995/agt.2025.22288
Abstract: A direct translation of the notion of homotopy equivalence from algebraic topology to digital images leads to a much more rigid definition in the context of digital topology. This results in two digital circles of… read more here.
Keywords: subdivision; homotopy equivalence; topology; subdivision based ... See more keywords