Homotopic properties of an \textit{MA}-digitization of 2D Euclidean spaces

DOI10.1016/j.jcss.2017.07.003zbMath1391.68110OpenAlexW2737303811MaRDI QIDQ1747503

Sang-Eon Han

Publication date: 8 May 2018

Published in: Journal of Computer and System Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcss.2017.07.003

zbMATH Keywords

\textit{MA}-homotopy equivalencedigital topologyMarcus-Wyse topology\(M\)-localized neighborhood\textit{LMA}-contractibility\textit{LMA}-homotopy equivalence\textit{MA}-contractibility\textit{MA}-digitization

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Simplicial sets and complexes in algebraic topology (55U10)

Related Items (3)

Homotopic properties of $KA$-digitizations of $n$-dimensional Euclidean spaces ⋮ Digital Space-Type Fixed Point Theory and Its Applications ⋮ Topologies of the quotient spaces induced by the \(M\)-topological plane and the infinite \(M\)-topological sphere

Cites Work

• Unnamed Item
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• Homotopy equivalence which is suitable for studying Khalimsky \(n\)D spaces
• On approximate-type systems generated by \( L\)-relations
• Digitizations associated with several types of digital topological approaches
• Generalizations of continuity of maps and homeomorphisms for studying 2D digital topological spaces and their applications
• Computer graphics and connected topologies on finite ordered sets
• Discrete-Euclidean operations
• Discretization in Hausdorff space
• Plane digitization and related combinatorial problems
• Digital straightness -- a review
• Axiomatic digital topology
• Graphs with a path partition for structuring digital spaces
• Continuous digitization in Khalimsky spaces
• Non-product property of the digital fundamental group
• SOME PROPERTIES OF LATTICE-BASED K- AND M-MAPS
• Some remarks concerning semi-T1/2 spaces
• Digital Straight Line Segments
• Fuzzy digital topology
• Topologies for the digital spaces and
• Fixed point property for digital spaces
• Almost fixed point property for digital spaces associated with Marcus-Wyse topological spaces
• KD-(k₀, k₁)-HOMOTOPY EQUIVALENCE AND ITS APPLICATIONS
• CLASSIFICATION OF SPACES IN TERMS OF BOTH A DIGITIZATION AND A MARCUS WYSE TOPOLOGICAL STRUCTURE
• Homotopy based on Marcus-Wyse topology and its applications

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