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| HAL: hal-00582395, version 1 |
| arXiv: 1104.0287 |
| Detailed view |  Export this paper |
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| A remark on Cantor derivative |
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| Cédric Milliet 1, 2 |
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| (2011-04-01) |
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| It is shown that, modulo an equivalence relation induced by finite correspondences preserving Cantor rank, the class of topological spaces is an integral semi-ring on which the Cantor derivative is precisely a derivation. |
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| 1: | Département de Mathématiques |
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Galatasaray Universitesi |
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| 2: | Institut Camille Jordan (ICJ) |
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CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon |
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| Subject | : | Mathematics/Logic |
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| Cantor-Bendixson rank – Cantor derivative – finite correspondence |
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| Attached file list to this document: | ||||||||||
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| hal-00582395, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00582395 | |
| oai:hal.archives-ouvertes.fr:hal-00582395 | |
| From: Cédric Milliet | |
| Submitted on: Friday, 1 April 2011 17:01:10 | |
| Updated on: Saturday, 2 April 2011 08:04:24 | |
