Infinite-step nilsystems, independence and complexity
An ∞-step nilsystem is an inverse limit of minimal nilsystems. In this article, it is shown that a minimal distal system is an ∞-step nilsystem if and only if it has no non-trivial pairs with arbitrarily long finite IP-independence sets. Moreover, it is p
| Autores: | , , , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2013 |
| País: | Chile |
| Idioma: | inglês |
| OAI Identifier: | oai:repositorio.anid.cl:10533/238520 |
| Acesso em linha: | https://hdl.handle.net/10533/238520 |
| Access Level: | Acceso aberto |
| Resumo: | An ∞-step nilsystem is an inverse limit of minimal nilsystems. In this article, it is shown that a minimal distal system is an ∞-step nilsystem if and only if it has no non-trivial pairs with arbitrarily long finite IP-independence sets. Moreover, it is p |
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