Finite spaces: a reduction algorithm for the computation of the small inductive dimension
type: Item
instance of: scholarly article
title: Finite spaces: a reduction algorithm for the computation of the small inductive dimension
zbMATH Open document ID: 1362.54029
author: Dimitris Georgiou
author: Athanasios Megaritis
author: S. P. Moshokoa
published in: Computational and Applied Mathematics
publication date: 2017-04-03T00:00:00Z
review text: In the paper under review, the authors use the concept of incidence matrix to obtain characterizations of the small inductive dimension for finite \(T_0\)-spaces. Using these results, they give a reduction algorithm to compute the small inductive dimension of finite \(T_0\)-spaces.
reviewed by: Takahisa Miyata
Mathematics Subject Classification ID: 54F45
Mathematics Subject Classification ID: 54A05
Mathematics Subject Classification ID: 65F30
zbMATH DE Number: 6699600
zbMATH Keywords: small inductive dimension
zbMATH Keywords: finite space
zbMATH Keywords: \(T_0\)-space
zbMATH Keywords: incidence matrix
zbMATH Keywords: matrix algebra
MaRDI profile type: Publication
full work available at URL: s40314-015-0261-0
OpenAlex ID: W957039310
cites work: Duality and finite spaces
cites work: Dimension and Finite Spaces
cites work: Q4855460
cites work: Covering dimension and finite spaces
cites work: Small inductive dimension and Alexandroff topological spaces
cites work: A computing procedure for the small inductive dimension of a finite \(\mathrm{T}_0\)-space
cites work: On storage of topological information
cites work: Singular homology groups and homotopy groups of finite topological spaces
cites work: Q4069959
cites work: Q4136160
cites work: Finite Topological Spaces
DOI: 10.1007/S40314-015-0261-0
description: scientific article; zbMATH DE number 6699600