Zobrazeno 1 - 10
of 10
pro vyhledávání: '"03C45, 03C65"'
Autor:
Barbina, Silvia, Casanovas, Enrique
Free Steiner triple systems (STS) are infinite structures that are naturally characterised by a universal property. We consider the class of free STSs from a model theoretic viewpoint. We show that free STSs on any number of generators are elementari
Externí odkaz:
http://arxiv.org/abs/2411.13723
Taking inspiration from [1, 21, 24], we develop a general framework to deal with the model theory of open incidence structures. In this first paper we focus on the study of systems of points and lines (rank $2$). This has a number of applications, in
Externí odkaz:
http://arxiv.org/abs/2411.10792
Autor:
Alouf, Eran
We first prove that if $\mathcal{Z}$ is a dp-minimal expansion of $\left(\mathbb{Z},+,0,1\right)$ which is not interdefinable with $\left(\mathbb{Z},+,0,1,<\right)$, then every infinite subset of $\mathbb{Z}$ definable in $\mathcal{Z}$ is generic in
Externí odkaz:
http://arxiv.org/abs/2402.11146
Autor:
Kirby, Jonathan
This is an extended abstract for a survey talk given in Oberwolfach on 1st December 2022, slightly updated in June 2023. I survey some work around the notion of quasiminimality and some of the progress towards Zilber's conjecture from the last 25 yea
Externí odkaz:
http://arxiv.org/abs/2306.05811
Publikováno v:
Annals of Pure and Applied Logic (2023), 103288
We give four different independence relations on any exponential field. Each is a canonical independence relation on a suitable Abstract Elementary Class of exponential fields, showing that two of these are NSOP$_1$-like and non-simple, a third is st
Externí odkaz:
http://arxiv.org/abs/2211.03071
Publikováno v:
Trans. Amer. Math. Soc. 369 (2017), no. 6, 4485-4516
Motivated by possible applications to meromorphic dynamics, and generalising known properties of difference-closed fields, this paper studies the theory CCMA of compact complex manifolds with a generic automorphism. It is shown that while CCMA does a
Externí odkaz:
http://arxiv.org/abs/1502.06521
Autor:
Argoty, Camilo
We study the theory of a Hilbert space H as a module for a unital C*-algebra A from the point of view of continuous logic. We give an explicit axiomatization for this theory and describe the structure of all the representations which are elementary e
Externí odkaz:
http://arxiv.org/abs/1010.6188
Autor:
Ealy, Clifton, Goldbring, Isaac
We study thorn forking and rosiness in the context of continuous logic. We prove that the Urysohn sphere is rosy (with respect to finitary imaginaries), providing the first example of an essentially continuous unstable theory with a nice notion of in
Externí odkaz:
http://arxiv.org/abs/0911.3446
We give four different independence relations on any exponential field. Each is a canonical independence relation on a suitable Abstract Elementary Class of exponential fields, showing that two of these are NSOP$_1$-like and non-simple, a third is st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07e21331d0d8edecfb2911f5e2941dff
Motivated by possible applications to meromorphic dynamics, and generalising known properties of difference-closed fields, this paper studies the theory CCMA of compact complex manifolds with a generic automorphism. It is shown that while CCMA does a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::de8a2d45a9b18504e2f40aa57a7da1d3
http://arxiv.org/abs/1502.06521
http://arxiv.org/abs/1502.06521