Browse Dissertations and Theses - Mathematics by Contributor "Hieronymi, Philipp"

  • Hakobyan, Tigran (2018-06-29)
    This thesis consists of two unrelated research projects. In the first project we study the model theory of the 2-sorted structure (F, C; χ), where F is an algebraic closure of a finite field of characteristic p, C is the ...

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  • Caulfield, Erin (2018-07-09)
    In this thesis, we study expansions of the real field by multiplicative subgroups of the complex numbers. We first consider expansions by a subgroup generated by an element of the unit circle and a positive real number. ...

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  • Etedadialiabadi, Mahmood (2017-12-08)
    We study two different problems: generic behavior of a measure preserving transformation and extending partial isometries of a compact metric space. In Chapter $1$, we consider a result of Del Junco--Lema\'nczyk [\ref{DL_B}] ...

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  • Zhao, Min (2015-01-21)
    In this dissertation, we study three problems about Ramsey theory. First, we prove a self-dual Ramsey theorem for parameter systems which is a generalization of the self-dual Ramsey theorem developed by Solecki. Second, ...

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  • Panagiotopoulos, Aristotelis (2017-07-13)
    Our results are divided in three independent chapters. In Chapter 2, we show that if g is a generic isometry of a generic subspace X of the Urysohn metric space U then g does not extend to a full isometry of U. The same ...

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  • Gehret, Allen R (2017-07-09)
    The ordered valued differential field $\mathbb{T}_{\log}$ of logarithmic transseries is conjectured to have good model theoretic properties. This thesis records our progress in this direction and describes a strategy moving ...

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  • Camacho Ahumada, Santiago (2018-01-10)
    Being closed under truncation for subsets of generalized series fields is a robust property in the sense that it is preserved under various algebraic and transcendental extension procedures. Nevertheless, in Chapter 4 of ...

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