A quotient-universal digital topology

DOI10.1016/J.TCS.2008.06.035zbMath1155.54015OpenAlexW2085463255MaRDI QIDQ949622

Josef Šlapal

Publication date: 21 October 2008

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2008.06.035

zbMATH Keywords

closure operatorAlexandroff topologyJordan curvequotient topologyKhalimsky topologyMarcus topology

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Connected and locally connected spaces (general aspects) (54D05) Discrete mathematics in relation to computer science (68R99)

Related Items (11)

Semi-topological properties of the \(K\)-topological version of the Jordan curve theorem ⋮ Semi-Jordan curve theorem on the Marcus-Wyse topological plane ⋮ Graphs with a path partition for structuring digital spaces ⋮ A Jordan Curve Theorem in the Digital Plane ⋮ Convenient adjacencies for structuring the digital plane ⋮ A digitization method of subspaces of the Euclidean \(n\)D space associated with the Khalimsky adjacency structure ⋮ Alexandroff pretopologies for structuring the digital plane ⋮ A Jordan curve theorem for 2-dimensional tilings ⋮ 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

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• Semi-metrics, closure spaces and digital topology
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• Computer graphics and connected topologies on finite ordered sets
• A Jordan surface theorem for three-dimensional digital spaces
• Closure operations for digital topology.
• A digital analogue of the Jordan curve theorem
• Existence and approximation theorems for solutions of complex analogues of boundary problems
• Digital Jordan curves
• Digital Topology
• A Topological Approach to Digital Topology
• Topologies for the digital spaces and

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