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| HAL: hal-00681419, version 4 |
| arXiv: 1203.4915 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2012-03-22) | v2 (2012-06-28) | v3 (2012-07-20) | v4 (2012-08-12) |
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| The linear isometry group of the Gurarij space is universal |
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| Itaï Ben Yaacov 1 |
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| (2012) |
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| We give a construction of the Gurarij space, analogous to Katetov's construction of the Urysohn space. The adaptation of Katetov's technique uses a generalisation of the Arens-Eells enveloping space to metric space with a distinguished normed subspace. This allows us to give a positive answer to a question of Uspenskij, whether the linear isometry group of the Gurarij space is a universal Polish group. |
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| 1: | 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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| Gurarij space – Katetov function – Arens-Eells space – universal Polish group |
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| Attached file list to this document: | ||||||||||
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| hal-00681419, version 4 | |
| http://hal.archives-ouvertes.fr/hal-00681419 | |
| oai:hal.archives-ouvertes.fr:hal-00681419 | |
| From: Itaï Ben Yaacov | |
| Submitted on: Saturday, 11 August 2012 23:31:28 | |
| Updated on: Sunday, 12 August 2012 21:23:53 | |
