Objective
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.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences mathematics pure mathematics discrete mathematics mathematical logic
- natural sciences mathematics pure mathematics topology
- natural sciences mathematics pure mathematics arithmetics
- natural sciences mathematics pure mathematics algebra
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-5
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Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
LEEDS
United Kingdom
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.