# Browse Dissertations and Theses - Mathematics by Contributor "Henson, C. Ward"

• (2011-08-26)
In this dissertation we investigate centralizers in several automorphism groups of homogenous structures. In the rst chapter, we discuss the centralizer question in ergodic theory, an open question that has served as ...

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• (2010-05-19)
Two Banach spaces X and Y are said to be almost isometric if for every λ > 1 there exists a λ-isomorphism f : X → Y . That is, a linear surjective map such that 1/λ ∥x∥ ≤ ∥f (x)∥ ≤ λ ∥x∥ for every x ∈ X . In this thesis ...

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• (1992)
A theory T admits elimination of imaginaries (EI) if every definable equivalence relation $\sim$ is the kernel of a definable map f. (I.e., $\vec{x}\sim\vec{y}\Longleftrightarrow f(\vec{x})=f(\vec{y}).)$ This term was ...

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• (2012-09-18)
This thesis consists of an introduction and two independent chapters. In Chapter 2, we show that the group of all homeomorphisms of the Cantor set H(2^N) has ample generics, that is, we show that for every m the diagonal ...

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• (2009)
We define the Grothendieck semiring of a category in a way suitable for the categories of definable sets and functions which occur in Model Theory, and also emphasize Euler characteristics, that is, invariant measures ...

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• (2008)
In this thesis, we study the injective envelope of metric spaces by viewing it as the space of extremal functions as defined by Isbell. Extremal functions are also Kate˘tov functions, which satisfy two inequalities ...

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• (2008)
This thesis introduces a natural extension of Kolchin's differential Galois theory to positive characteristic iterative differential fields, generalizing to the non-linear case the iterative Picard-Vessiot theory recently ...

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• (2004)
For each pair of linear orderings (L, M), the representability number reprM(L) of L in M is the least ordinal alpha such that L can be order-embedded into the lexicographic power Malex . The case M = R is relevant ...

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• (2012-02-06)
This thesis presents a systematic study of the model theory of probability algebras, random variable structures, and adapted structures, with an emphasis on their atomless counterparts. In this thesis, the author uses ...

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• (2006)
Some classes of Nakano spaces are shown to be axiomatizable in continuous logic for metric structures. The theory of atomless Nakano spaces equipped with a modular having a fixed compact essential range is shown to admit ...

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• (2011-05-25)
In this dissertation, a nonstandard approach to lifting theory developed by Bliedtner and Loeb is applied to liftings on topological measure spaces and group measure spaces. A further application to disintegrations of ...

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• (2008)
Let R be an o-minimal field and V a proper convex subring of R with residue field k. Let kind be the expansion of the residue field by the standard parts of definable relations on R. We investigate the definable sets in ...

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• (1995)
In the first part of this thesis I prove some results on elementary pairs of o-minimal structures.

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• (1991)
Fragments of extensional Martin-Lof type theory without universes, $ML\sb0,$ are introduced that conservatively extend S. A. Cook and A. Urquhart's $IPV\sp\omega.$ A model for these restricted theories is obtained by ...

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• (2010-08-20)
For a compact metric space E, Solecki has defined a broad natural class of G-delta ideals of compact sets on E, called G-delta ideals with property (*), and has shown that any ideal I in this class can be represented ...

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• (2000)
We give a characterization of Banach lattice types over L p(O, U , mu) in terms of conditional distributions.

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