A closure operator for the digital plane

DOI10.2298/FIL2010229SzbMath1499.54219MaRDI QIDQ5081169

Josef Šlapal

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

connectednessclosure operatordigital planeKhalimsky topologyJordan curve theorem

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Connected and locally connected spaces (general aspects) (54D05) Applications of general topology to computer science (e.g., digital topology, image processing) (54H30) Computational aspects of digital topology (68U03)

Related Items (2)

Unnamed Item ⋮ Connectivity with respect to \(\alpha\)-discrete closure operators

Cites Work

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• Computer graphics and connected topologies on finite ordered sets
• Graphs with a path partition for structuring digital spaces
• A theory of binary digital pictures
• Jordan Curve Theorems with Respect to Certain Pretopologies on $\mathbb Z^2$
• Topologies for the digital spaces and
• Closure operators on graphs for modeling connectedness in digital spaces

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