A Jordan curve theorem for 2-dimensional tilings

DOI10.1016/j.topol.2021.107773zbMath1479.54073arXiv2103.07644OpenAlexW3182424878MaRDI QIDQ2049889

Natalia Jonard-Pérez, Diego Fajardo-Rojas

Publication date: 27 August 2021

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

Full work available at URL: https://arxiv.org/abs/2103.07644

zbMATH Keywords

tilingdigital planeJordan curvesimple closed curvecycle in graphAlexandrov topologies

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Planar graphs; geometric and topological aspects of graph theory (05C10) Quotient spaces, decompositions in general topology (54B15) Connected and locally connected spaces (general aspects) (54D05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Connectivity (05C40) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Connections of general topology with other structures, applications (54H99) Applications of general topology to computer science (e.g., digital topology, image processing) (54H30)

Related Items (1)

Semi-Jordan curve theorem on the Marcus-Wyse topological plane

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