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Laboratoire d'informatique fondamentale de Marseille UMR 6166 - CNRS, Université de la Méditerranée, Université de Provence |
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Laboratoire d'informatique fondamentale de Marseille UMR 6166 - CNRS, Université de la Méditerranée, Université de Provence |
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| HAL: hal-00111230, version 1 |
| arXiv: math.CT/0403227 |
| Detailed view |  Export this paper |
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| Electronic Notes in Theoretical Computer Science, Warsaw : Pologne (2003) |
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| Logical Construction of Final Coalgebras |
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| Luigi Santocanale 1 |
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| (2003) |
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| We prove that every finitary polynomial endofunctor of a category $C$ has a final coalgebra if $C$ is locally Cartesian closed, has finite disjoint coproducts and a natural number object. More generally, we prove that the category of coalgebras for such an endofunctor has all finite limits. |
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| 1: | Laboratoire d'informatique Fondamentale de Marseille (LIF) |
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CNRS : UMR6166 – Université de la Méditerranée - Aix-Marseille II – Université de Provence - Aix-Marseille I |
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| Subject | : | Physics/Condensed Matter/Soft Condensed Matter |
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| Fulltext link: |
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| http://fr.arXiv.org/abs/math.CT/0403227 |
| hal-00111230, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00111230 | |
| oai:hal.archives-ouvertes.fr:hal-00111230 | |
| From: Import Arxiv | |
| Submitted on: Saturday, 4 November 2006 11:50:38 | |
| Updated on: Saturday, 4 November 2006 11:50:38 | |
