Covering dimension and finite spaces |
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Authors: | DN Georgiou AC Megaritis |
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Institution: | University of Patras, Department of Mathematics, 265 04 Patras, Greece |
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Abstract: | Finite topological spaces, that is spaces with a finite number of points, have a wide range of applications in many areas such as computer graphics and image analysis. In this paper we study the covering dimension of a finite topological space. In particular, we give an algorithm for computing the covering dimension of a finite topological space using matrix algebra. |
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Keywords: | Covering dimension Finite spaces Incidence matrix |
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