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JORIS POTIER_THESIS.pdf (45.05 MB)

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Doctoral thesis

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Published version

Publication date

2015-06-08

Publication license

cc-by-sa, (c) Potier,, 2015
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/102249

A few things about hyperimaginaries and stable forking

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Abstract

[eng] The core of this PhD dissertation is basically twofold : On one hand, I get some new results on the relationship between compact groups and bounded hyperimaginaries, extending a little bit the classical results of Lascar and Pillay in Hyperimaginaries And Automorphism Groups. On the other hand, I prove some new results around the so called "stable forking" property, more specifically that a simple theory T has stable forking if Teq has. Quite surprisingly, the proof is not so straigtforward.
[spa] En este texto se trata, por una parte, de la relación entre grupos compactos e hiper-imaginarios acotados, y por otra parte se prueba que una teoría T tiene la propiedad de bifurcación estable si i solo si Teq la tiene.

Subject

Lògica, Topologia, Categories (Matemàtica), Teoria de models, Teoria de conjunts,

Subject (English)

Logic, Topology, Categories (Mathematics), Model theory, Set theory

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Tesis Doctorals - Departament - Lògica, Història i Filosofia de la Ciència

Citation

POTIER, Joris. A few things about hyperimaginaries and stable forking. [consulted: 15 of August of 2026]. Available at: https://hdl.handle.net/2445/102249

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