Homotopy equivalence which is suitable for studying Khalimsky \(n\)D spaces

DOI10.1016/j.topol.2011.07.029zbMath1237.55004OpenAlexW1968659819MaRDI QIDQ409668

Sang-Eon Han

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2011.07.029

zbMATH Keywords

digital topologydigital homotopydigital imagedigital homotopy equivalencedigital spaceKhalimsky spacestrong \(k\)-deformation retract

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items (7)

A compression of digital images derived from a Khalimsky topological structure ⋮ Existence of the category \(\mathit{DTC}_2(k)\) equivalent to the given category \(\mathit{KAC}_2\) ⋮ Generalizations of continuity of maps and homeomorphisms for studying 2D digital topological spaces and their applications ⋮ Homotopic properties of an \textit{MA}-digitization of 2D Euclidean spaces ⋮ Homotopic properties of $KA$-digitizations of $n$-dimensional Euclidean spaces ⋮ An \(MA\)-digitization of Hausdorff spaces by using a connectedness graph of the Marcus-Wyse topology ⋮ Homotopy based on Marcus-Wyse topology and its applications

Cites Work

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