Skip to main content
Ir a la página de inicio de la Comisión Europea (se abrirá en una nueva ventana)
español es
CORDIS - Resultados de investigaciones de la UE
CORDIS
Contenido archivado el 2024-05-29

Minimality conditions in model theory

Objetivo

The main objective of this proposal is to continue tee study general model theoretic properties and examples of important classes of structures which are minimal with respect to a certain language, namely weakly o-minimal, C-minimal and P-minimal structures and o-minimal expansions of Boolean algebras. Each of these classes is constrained by certain tight conditions on definable sets in one variable. In the case of weak o-minimalist, especially for weakly o-minimal expansions of real closed fields without definable valuations and expansions of o-minimal structures by convex predicates, I plan to investigate various geometric and topological concepts (like Eller characteristics, smoothness and fineries properties) for definable sets. I will also study definable groups, the theory of weakly o-minimal ordered fields, elimination of imaginaries and expansions of weakly o-minimal structures by convex predicates. I am going to apply techniques developed for weakly o-minimal structures to approach relevant questions concerning C- and P-minimal structures. I am also planning to generalize results (concerning o-minimal expansions of Boolean algebras) from my PhD thesis. I will be mainly working with Prof. McPherson and Prof. Truss, leading specialists in the area of variants of o-minimalist. A part of my PhD thesis is closely related to the research of Prof. Truss (concerning the small index property). Therefore I believe that the results from my PhD thesis and their planned extension will be of great interest to the Leeds model theory group. Through undertaking this project my research will develop smoothly from the area of my PhD to topics (o-minimalist and variants of this notions) intensively studied by many European model theorists. The training through research and through interactions in Leeds will leave me excellently placed for a permanent academic position and will develop a solid base for further cooperation in research.

Ámbito científico (EuroSciVoc)

Palabras clave

Tema(s)

Convocatoria de propuestas

FP6-2002-MOBILITY-5
Consulte otros proyectos de esta convocatoria

Régimen de financiación

EIF - Marie Curie actions-Intra-European Fellowships

Coordinador

UNIVERSITY OF LEEDS
Aportación de la UE
Sin datos
Dirección
Woodhouse Lane
LEEDS
Reino Unido
Coste total
Sin datos