Covering dimension and finite spaces
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 c...
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| Veröffentlicht in: | Applied mathematics and computation 2011-12, Vol.218 (7), p.3122-3130 |
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| container_end_page | 3130 |
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| container_issue | 7 |
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| container_title | Applied mathematics and computation |
| container_volume | 218 |
| creator | Georgiou, D.N. Megaritis, A.C. |
| description | 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. |
| doi_str_mv | 10.1016/j.amc.2011.08.040 |
| format | Article |
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| ispartof | Applied mathematics and computation, 2011-12, Vol.218 (7), p.3122-3130 |
| issn | 0096-3003 |
| language | eng |
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| source | Elsevier ScienceDirect Journals |
| subjects | Algorithms Computation Covering Image analysis Mathematical analysis Mathematical models Matrix algebra Topology |
| title | Covering dimension and finite spaces |
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