Small inductive dimension and Alexandroff topological spaces

DOI10.1016/j.topol.2014.02.014zbMath1295.54032OpenAlexW2078728411MaRDI QIDQ2447134

Athanasios Megaritis, Seithuti Philemon Moshokoa, Dimitris Georgiou

Publication date: 24 April 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.02.014

zbMATH Keywords

small inductive dimension\(T_0\)-spaceAlexandroff space

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Dimension theory in general topology (54F45) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items

Small and large inductive dimension for ideal topological spaces, The dimension Dind of finite topological \(T_0\)-spaces, Algorithmic counting of zero-dimensional finite topological spaces with respect to the covering dimension, 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, Efficient Computation of the Large Inductive Dimension Using Order- and Graph-theoretic Means, A computing procedure for the small inductive dimension of a finite \(\mathrm{T}_0\)-space

Cites Work

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• Dimensions of the type \(\dim\) and Alexandroff spaces
• Covering dimension and finite spaces
• The small inductive dimension of subsets of Alexandroff spaces
• Dimension and Finite Spaces