Finite spaces: a reduction algorithm for the computation of the small inductive dimension

DOI10.1007/s40314-015-0261-0zbMath1362.54029OpenAlexW957039310MaRDI QIDQ520332

Dimitris Georgiou, Athanasios Megaritis, Seithuti Philemon Moshokoa

Publication date: 3 April 2017

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

Full work available at URL: https://doi.org/10.1007/s40314-015-0261-0

zbMATH Keywords

incidence matrixmatrix algebrasmall inductive dimension\(T_0\)-spacefinite space

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Dimension theory in general topology (54F45)

Related Items

Algorithmic counting of zero-dimensional finite topological spaces with respect to the covering dimension, Order- and graph-theoretic investigation of dimensions of finite topological spaces and Alexandroff spaces, Efficient Computation of the Large Inductive Dimension Using Order- and Graph-theoretic Means

Cites Work

• Covering dimension and finite spaces
• Duality and finite spaces
• On storage of topological information
• A computing procedure for the small inductive dimension of a finite \(\mathrm{T}_0\)-space
• Small inductive dimension and Alexandroff topological spaces
• Singular homology groups and homotopy groups of finite topological spaces
• Finite Topological Spaces
• Dimension and Finite Spaces
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