CLASSIFICATION OF SPACES IN TERMS OF BOTH A DIGITIZATION AND A MARCUS WYSE TOPOLOGICAL STRUCTURE

DOI10.5831/HMJ.2011.33.4.575zbMath1238.54002MaRDI QIDQ5388273

Sang-Eon Han, Woojik Chun

Publication date: 18 April 2012

Published in: Honam Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://www.mathnet.or.kr/mathnet/thesis_content.php?no=409335

zbMATH Keywords

digitizationMarcus Wyse topologyMarcus Wyse continuous maplattice based Marcus Wyse continuous maplattice based Marcus Wyse homeomorphismMarcus Wyse connectednessMarcus Wyse homeomorphism

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) Classification of fiber spaces or bundles in algebraic topology (55R15)

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The fixed point property of an \(M\)-retract and its applications ⋮ Generalizations of continuity of maps and homeomorphisms for studying 2D digital topological spaces and their applications ⋮ Almost fixed point property for digital spaces associated with Marcus-Wyse topological spaces ⋮ Homotopic properties of an \textit{MA}-digitization of 2D Euclidean spaces ⋮ Digitizations associated with several types of digital topological approaches ⋮ 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 ⋮ SOME PROPERTIES OF LATTICE-BASED K- AND M-MAPS ⋮ Topological graphs based on a new topology on Zn and its applications

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