A Jordan curve theorem with respect to a pretopology on ℤ2

DOI10.1080/00207160.2012.742889zbMath1280.54014OpenAlexW2086023100MaRDI QIDQ2855779

Josef Šlapal

Publication date: 22 October 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.742889

zbMATH Keywords

digital planeJordan curvepretopologyquotient topologyquasi-discrete pretopology

Mathematics Subject Classification ID

Quotient spaces, decompositions in general topology (54B15) Connected and locally connected spaces (general aspects) (54D05)

Related Items (1)

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Cites Work

• Boundaries in digital planes
• Computer graphics and connected topologies on finite ordered sets
• A quotient-universal digital topology
• A Jordan surface theorem for three-dimensional digital spaces
• Closure operations for digital topology.
• A digital analogue of the Jordan curve theorem
• Digital Jordan curves
• A Jordan Curve Theorem in the Digital Plane
• Convenient Closure Operators on $\mathbb Z^2$
• Digital Topology
• A Topological Approach to Digital Topology

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