Covering dimension and finite spaces

DOI10.1016/j.amc.2011.08.040zbMath1244.65030OpenAlexW2014960201MaRDI QIDQ426309

Dimitris Georgiou, Athanasios Megaritis

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://polipapers.upv.es/index.php/AGT/article/view/1641

zbMATH Keywords

algorithmincidence matrixcovering dimensioncomputer graphicsimage analysisfinite topological spaces

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items

Small and large inductive dimension for ideal topological spaces, The dimension Dind of finite topological \(T_0\)-spaces, An algorithm of polynomial order for computing the covering dimension of a finite space, Covering dimension and ideal topological spaces, Algorithmic counting of zero-dimensional finite topological spaces with respect to the covering dimension, A study of the quasi covering dimension of Alexandroff countable spaces using matrices, Important matrix computations in finite topological spaces, Dimensions of the type \(\dim\) and Alexandroff spaces, Small inductive dimension and Alexandroff topological spaces, Finite spaces: a reduction algorithm for the computation of the small inductive dimension, Order- and graph-theoretic investigation of dimensions of finite topological spaces and Alexandroff spaces, A study of the order dimension of a poset using matrices, Efficient Computation of the Large Inductive Dimension Using Order- and Graph-theoretic Means, A study of a covering dimension of finite lattices, A computing procedure for the small inductive dimension of a finite \(\mathrm{T}_0\)-space

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