Pseudo T -closed fields
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| Autors: | , |
|---|---|
| Format: | artículo original |
| Data de publicació: | 2025 |
| Descripció: | Pseudo algebraically closed, pseudo real closed, and pseudo p-adically closed fields are examples of unstable fields that share many similarities, but have mostly been studied separately. In this text, we propose a unified framework for studying them: the class of pseudo T-closed fields, where T is an enriched theory of fields. These fields verify a "local-global" principle for the existence of points on varieties with respect to models of T. This approach also enables a good description of some fields equipped with multiple V-topologies, particularly pseudo algebraically closed fields with a finite number of valuations. One important result is a (model theoretic) classification result for bounded pseudo T-closed fields, in particular we show that under specific hypotheses on T, these fields are NTP2 of finite burden. |
| Pais: | Kérwá |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| Idioma: | Inglés |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/102892 |
| Accés en línia: | https://hdl.handle.net/10669/102892 https://doi.org/10.2140/mt.2025.4.1 |
| Paraula clau: | model theory valued fields ordered fields PRC and P p C fields |