Digital Jordan curves

DOI10.1016/j.topol.2005.10.011zbMath1111.54021OpenAlexW1989834610MaRDI QIDQ2433687

Josef Šlapal

Publication date: 30 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.10.011

zbMATH Keywords

Alexandroff topologyJordan curveKhalimsky topologyMarcus topology

Mathematics Subject Classification ID

Paths and cycles (05C38) Connected and locally connected spaces (general aspects) (54D05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items

Unnamed Item ⋮ Topologies associated with the one point compactifications of Khalimsky topological spaces ⋮ Hereditary properties of semi-separation axioms and their applications ⋮ Semi-topological properties of the \(K\)-topological version of the Jordan curve theorem ⋮ Homotopy equivalence which is suitable for studying Khalimsky \(n\)D spaces ⋮ Semi-separation axioms associated with the Alexandroff compactification of the \(MW\)-topological plane ⋮ Graphs with a path partition for structuring digital spaces ⋮ Roughness measures of locally finite covering rough sets ⋮ A Jordan Curve Theorem in the Digital Plane ⋮ Convenient adjacencies for structuring the digital plane ⋮ Semi-separation axioms of the infinite Khalimsky topological sphere ⋮ A quotient-universal digital topology ⋮ Digitizations associated with several types of digital topological approaches ⋮ Alexandroff pretopologies for structuring the digital plane ⋮ Jordan surface theorem for simple closed \textit{SST}-surfaces ⋮ Strong homotopy in finite topological adjacency category ⋮ Topologies of the quotient spaces induced by the \(M\)-topological plane and the infinite \(M\)-topological sphere ⋮ Jordan Curve Theorems with Respect to Certain Pretopologies on $\mathbb Z^2$ ⋮ Maps generating the same primal space ⋮ A Jordan curve theorem with respect to a pretopology on ℤ²

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semi-metrics, closure spaces and digital topology
• Boundaries in digital planes
• Computer graphics and connected topologies on finite ordered sets
• A Jordan surface theorem for three-dimensional digital spaces
• Closure operations for digital topology.
• Digital Topology
• A Topological Approach to Digital Topology
• Topologies for the digital spaces and
• A Jordan Curve Theorem with Respect to Certain Closure Operations on the Digital Plane