Low-level separation axioms from the viewpoint of computational topology

DOI10.2298/FIL1907889HzbMath1499.54013MaRDI QIDQ5080810

Sang-Eon Han

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

dimensionAlexandroff spacelocally finite spaceabstract cell complexsemi-separationsemi-\(T_1\) space\(AC\) complexedge to edge tilingface to face crystallization

Mathematics Subject Classification ID

Topological characterizations of particular spaces (54F65) Topological spaces and generalizations (closure spaces, etc.) (54A05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Computational aspects of digital topology (68U03)

Related Items (3)

Semi-separation axioms associated with the Alexandroff compactification of the \(MW\)-topological plane ⋮ Semi-Jordan curve theorem on the Marcus-Wyse topological plane ⋮ Jordan surface theorem for simple closed \textit{SST}-surfaces

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