Generalizations of continuity of maps and homeomorphisms for studying 2D digital topological spaces and their applications

DOI10.1016/j.topol.2015.05.024zbMath1353.54004OpenAlexW436800922MaRDI QIDQ897431

Sang-Eon Han

Publication date: 18 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.024

zbMATH Keywords

digital topologyMarcus Wyse topology\(M\)-isomorphism\(M\)-map\(MA\)-retractMarcus Wyse adjacencyMarcus Wyse continuous map

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Continuous maps (54C05) Topological characterizations of particular spaces (54F65) Weak and generalized continuity (54C08) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10)

Related Items (18)

The fixed point property of the infinite K-sphere in the set Con*((Z2)*) ⋮ The fixed point property of an \(M\)-retract and its applications ⋮ Terse walk sets in graphs and induced closure operators ⋮ Hereditary properties of semi-separation axioms and their applications ⋮ Semi-separation axioms associated with the Alexandroff compactification of the \(MW\)-topological plane ⋮ Semi-Jordan curve theorem on the Marcus-Wyse topological plane ⋮ Almost fixed point property for digital spaces associated with Marcus-Wyse topological spaces ⋮ Homotopic properties of an \textit{MA}-digitization of 2D Euclidean spaces ⋮ Alexandroff pretopologies for structuring the digital plane ⋮ An \(MA\)-digitization of Hausdorff spaces by using a connectedness graph of the Marcus-Wyse topology ⋮ Marcus-Wyse topological rough sets and their applications ⋮ Homotopy based on Marcus-Wyse topology and its applications ⋮ Digital Space-Type Fixed Point Theory and Its Applications ⋮ Strong homotopy in finite topological adjacency category ⋮ Topological operators of MW-topological rough approximations ⋮ Topologies of the quotient spaces induced by the \(M\)-topological plane and the infinite \(M\)-topological sphere ⋮ Characterizations of an MW-topological rough set structure ⋮ Topological graphs based on a new topology on Zn and its applications

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