Zobrazeno 1 - 7
of 7
pro vyhledávání: '"Chloé Perin"'
Autor:
Chloé Perin, Rizos Sklinos
Publikováno v:
Journal of the London Mathematical Society. 102:796-817
We give a complete characterization of the forking independence relation over any set of parameters in the free groups of finite rank, in terms of the $JSJ$ decompositions relative to those parameters.
Comment: 23 pages. In the updated version,
Comment: 23 pages. In the updated version,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0e3ce33f9c2c2a45d26732aa304a9b9
https://doi.org/10.1112/jlms.12338
https://doi.org/10.1112/jlms.12338
Autor:
Chloé Perin, Rizos Sklinos
Publikováno v:
Mathematical Logic Quarterly. 62:88-93
In this short note we prove that a definable set $X$ over $\mathbb F_n$ is superstable only if $X(\mathbb F_n)=X(\mathbb F_{\omega})$.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8168a78cbd64c90653bec8cda4f14387
https://doi.org/10.1002/malq.201500049
https://doi.org/10.1002/malq.201500049
Autor:
Chloé Perin, Rizos Sklinos
Publikováno v:
Journal of the European Mathematical Society. 18:1983-2017
We give a description of the model theoretic relation of forking independence in terms of the notion of JSJ decompositions in non abelian free groups.
Comment: 33 pages, 6 figures
Comment: 33 pages, 6 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ba112be387ed5678a65e96dc832694ab
https://doi.org/10.4171/jems/636
https://doi.org/10.4171/jems/636
We give some lower bounds on the Shelah rank of varieties in the free group whose coordinate groups are hyperbolic towers.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10a6ea8d94a0e72c51458324ce3ff52e
Autor:
Chloé Perin
Publikováno v:
Annales scientifiques de l'École normale supérieure. 46:851-856
The notations adopted are those of [Per11]. Proposition 5.11 of [Per11] states that if a torsion-free hyperbolic group A admits a cyclic JSJ-like decomposition Λ, and a non injective morphism f : A → A which restricts to conjugation on each non su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eefae5444f2975eda8fe949c6bc0de42
https://doi.org/10.24033/asens.2203
https://doi.org/10.24033/asens.2203
Publikováno v:
Notre Dame Journal of Formal Logic
Notre Dame Journal of Formal Logic, University of Notre Dame, 2013, 54 ; 3-4, pp.521-539. ⟨10.1215/00294527-2143988⟩
Notre Dame J. Formal Logic 54, no. 3-4 (2013), 521-539
Notre Dame Journal of Formal Logic, University of Notre Dame, 2013, 54 ; 3-4, pp.521-539. ⟨10.1215/00294527-2143988⟩
Notre Dame J. Formal Logic 54, no. 3-4 (2013), 521-539
We use hyperbolic towers to answer some model theoretic questions around the generic type in the theory of free groups. We show that all the finitely generated models of this theory realize the generic type $p_0$, but that there is a finitely generat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1cad4ac3902460841acfef2fbcf50807
https://hal.archives-ouvertes.fr/hal-01291746/document
https://hal.archives-ouvertes.fr/hal-01291746/document
Autor:
Chloé Perin
Publikováno v:
Mathematics [math]. Université de Caen, 2008. English
The purpose of this thesis is to describe first-order logic elementary embeddings in a torsion-free hyperbolic group. The main result gives such a description in terms of a structure that Sela introduced in his answer to Tarski's problem: the structu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c4e01b68e189fb3792e570b805e0eb5
https://tel.archives-ouvertes.fr/tel-00460330
https://tel.archives-ouvertes.fr/tel-00460330