Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 8 of 8 for “"O-minimality"”.
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O-Minimal Fields With Standard Part Map
… in kind and conditions on (R,V) which imply o-minimality of kind. We also show that if R is o-saturated and V is the convex hull of Q in R, then the sets definable in k ind are exactly the standard parts of the sets definable in ( R,V). Using our description of definable sets in k ind we give a …
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Uniform bounds in D-minimal structures
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-10-20 without embargo terms
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Two topics in arithmetic combinatorics
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2023-09-01 without embargo terms
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Pairs and predicates in expansions of o-minimal structures
This thesis establishes new results concerning the interactions of some model-theoretic notions of tameness with other more geometric notions of tameness, among other properties. In particular, the results range from characterizing the existence of a model companion for a certain kind of extension …
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Derivations on o-minimal fields
"Let $K$ be an o-minimal expansion of a real closed ordered field and let $T$ be the theory of $K$. In this thesis, we study derivations $\der$ on $K$. We require that these derivations be compatible with the $\mathcal{C}^1$-functions definable in $K$. For example, if $K$ defines an exponential …
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Holomorphic Extensions in the Structure R_{an,exp}
In this thesis we consider real analytic functions, i.e. functions which can be described locally as convergent power series and ask the following: Which real analytic functions definable in R_{an,exp} have a holomorphic extension which is again definable in R_{an,exp}? Finding a holomorphic …
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Asymptotic Expansion for the Time Evolution of the Probability Distribution Given by the Brownian Motion on Semialgebraic Sets
In this thesis, we examine whether the probability distribution given by the Brownian Motion on a semialgebraic set is definable in an o-minimal structure and we establish asymptotic expansions for the time evolution. We study the probability distribution as an example for the occurrence of special …
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The Pila-Wilkie theorem and analytic Ax-Kochen-Ersov theory
Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2022-11-15 without embargo terms