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

In this paper we study the small inductive dimension ind for a finite 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 T 0 -spaces. The algorithm is based on the...

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Veröffentlicht in:	Computational & applied mathematics 2017-03, Vol.36 (1), p.791-803
Hauptverfasser:	Georgiou, D. N., Megaritis, A. C., Moshokoa, S. P.
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Applications of Mathematics Applied physics Computation Computational mathematics Computational Mathematics and Numerical Analysis Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics Reduction
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Zusammenfassung:	In this paper we study the small inductive dimension ind for a finite 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 T 0 -spaces. The algorithm is based on the concept of the incidence matrix of a finite space.
ISSN:	0101-8205 2238-3603 1807-0302
DOI:	10.1007/s40314-015-0261-0