Model theory of finite and pseudofinite rings
RI Bello Aguirre - 2016 - etheses.whiterose.ac.uk
The model theory of finite and pseudofinite fields as well as the model theory of finite and
pseudofinite groups have been and are thoroughly studied. A close relation has been found …
pseudofinite groups have been and are thoroughly studied. A close relation has been found …
Model theory of multidimensional asymptotic classes
DA Wolf - 2016 - etheses.whiterose.ac.uk
In this PhD thesis we explore the concept of a multidimensional asymptotic class. This is a
new notion in model theory, arising as a generalisation of the Elwes–Macpherson …
new notion in model theory, arising as a generalisation of the Elwes–Macpherson …
Counting in Uncountably Categorical Pseudofinite Structures
A Van Abel - The Journal of Symbolic Logic, 2021 - cambridge.org
We show that every definable subset of an uncountably categorical pseudofinite structure
has pseudofinite cardinality which is polynomial (over the rationals) in the size of any …
has pseudofinite cardinality which is polynomial (over the rationals) in the size of any …
Dimension and measure in pseudofinite H-structures
A Berentein, D Garcia, T Zou - arXiv preprint arXiv:2009.07331, 2020 - arxiv.org
We study H-structures associated to SU-rank 1 measurable structures. We prove that the SU-
rank of the expansion is continuous and that it is uniformly definable in terms of the …
rank of the expansion is continuous and that it is uniformly definable in terms of the …
[PDF][PDF] H-STRUCTURES AND GENERALIZED MEASURABLE STRUCTURES
A BERENSTEIN, D GARCÍA, T ZOU - arXiv preprint arXiv …, 2020 - researchgate.net
We study H-structures associated to SU-rank one measurable structures. We prove that the
SU-rank of the expansion is continuous and that it is uniformly definable in terms of the …
SU-rank of the expansion is continuous and that it is uniformly definable in terms of the …