A Topological Approach to Digital Topology

From MaRDI portal
Publication:3985123

DOI10.2307/2324147zbMath0761.54036OpenAlexW2029812885MaRDI QIDQ3985123

Paul R. Meyer, Ralph Kopperman, T. Yung Kong

Publication date: 27 June 1992

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2324147




Related Items (88)

Mappings on abstract cellular complex and their applications in image analysisDigital Jordan curves and surfaces with respect to a graph connectednessSome bitopological concepts based on the alternative effects of closure and interior operatorOn \(\pi gp\)-continuous functions in topological spacesMildly generalized closed sets, almost normal and mildly normal spacesDimension on discrete spacesUnnamed ItemSeparation axioms of αm-contra-open maps and b-ω-open sets in generalized topological spacesTopological properties of the intersection graph of covers of \(n\)-dimensional surfacesCompatible connectedness in graphs and topological spacesTransfer closed and transfer open multimaps in minimal spacesTerse walk sets in graphs and induced closure operatorsA new decomposition of \(\beta \)-open functionsDecompositions of new classes of functionsAlmost \(b\)-continuous functionsWeakly \(b\)-continuous functionsDecompositions of continuity and some weak forms of continuityOn \(\delta -\beta \)-continuous functionsAlmost contra-\(g\)-continuous functionsA note on disconnectednessClosure operators on graphs for modeling connectedness in digital spacesHomological spanning forest framework for 2D image analysisSome topological notations via Maki's \(\Lambda \)-setsGeneral adaptive neighborhood-based pretopological image filteringThe topology of boundariesRelation-induced connectedness in the digital planePaths, homotopy and reduction in digital imagesPrototypes, poles, and tessellations: towards a topological theory of conceptual spacesGeneralized \(\psi^{\ast}\)-closed sets in bitopological spacesOperation pc-open sets and operation pc-separation axioms in bitopological spacesA unified treatment of generalized closed sets in topological spacesThe categories of flows of Set and TopThe digital smash productDigital Jordan curvesSpectral primal spacesUnnamed ItemUnnamed ItemGraphs with a path partition for structuring digital spacesA-spectral spaces.Closure operations for digital topology.On locally \(\delta\)-generalized closed sets and \(L \delta GC\)-continuous functionsDiscrete MereotopologySemi-Lipschitz functions and best approximation in quasi-metric spacesA Jordan Curve Theorem in the Digital PlaneA convenient graph connectedness for digital imageryGalois connections between sets of paths and closure operators in simple graphsConvenient adjacencies for structuring the digital planeDifference formsEquivalent \((k_{0},k_{1})\)-covering and generalized digital liftingA quotient-universal digital topologyCategorical aspects of inducing closure operators on graphs by sets of walksOn almost \(\pi gp\)-continuous functionsContinuous digitization in Khalimsky spacesOn \((LC, s)\)-continuous functionsLinear minimal spaceWhich topologies are quasimetrizable?Dimensional properties of graphs and digital spaces.A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital PlaneAlexandroff pretopologies for structuring the digital planeGuest editors' preface to special issue on digital topologyConcepts of digital topologyDigital Jordan curves---a graph-theoretical approach to a topological theoremA note on alternative digital topologiesOn locally closedness and continuityThinning on cell complexes from polygonal tilingsCold and Freezing Sets in the Digital PlaneOn storage of topological informationOn fuzzy upper and lower \(s\)-limit setsUnnamed ItemCompatible topologies on graphs: an application to graph isomorphism problem complexityUnnamed ItemThe autohomeomorphism group of connected homogeneous functionally Alexandroff spacesA Jordan curve theorem for 2-dimensional tilingsHomotopy theory in digital topologyJordan Curve Theorems with Respect to Certain Pretopologies on $\mathbb Z^2$A digital analogue of the Jordan curve theoremUnnamed ItemDigital Jordan Curves and Surfaces with Respect to a Closure Operator\(k\)-primal spacesUnnamed ItemConnectivity with respect to \(\alpha\)-discrete closure operatorsContractibility of the digital $n$-spaceA Jordan curve theorem with respect to a pretopology on ℤ2Connected sum of digital closed surfacesAn alternative digital topologyCoding cells of digital spaces: a framework to write generic digital topology algorithmsMultidimensional cell lists for investigating 3-manifoldsPath-induced closure operators on graphs for defining digital Jordan surfaces




This page was built for publication: A Topological Approach to Digital Topology