Abstract
In this paper we study the small inductive dimension ind for a finite \(\mathrm{T}_0\)-space. Particularly, new characterizations of ind are presented. The above study establishes a reduction algorithm for the computation of the dimension ind in the class of all finite \(\mathrm{T}_0\)-spaces. The algorithm is based on the concept of the incidence matrix of a finite space.
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Communicated by Jinyun Yuan.
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Georgiou, D.N., Megaritis, A.C. & Moshokoa, S.P. Finite spaces: a reduction algorithm for the computation of the small inductive dimension. Comp. Appl. Math. 36, 791–803 (2017). https://doi.org/10.1007/s40314-015-0261-0
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DOI: https://doi.org/10.1007/s40314-015-0261-0