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Definable sets up to definable bijections in Presburger groups

  • Published:2018-01-04 Issue:1 Volume:5 Page:47-70
  • ISSN:2052-4986
  • Container-title:Transactions of the London Mathematical Society
  • language:en
  • Short-container-title:Trans. London Math. Soc.

Author:

Cluckers Raf12,Halupczok Immanuel3

Affiliation:

1. Université de LilleLaboratoire PainlevéCNRS ‐ UMR 8524, Cité Scientifique59655 Villeneuve d'Ascq cedex France

2. KU LeuvenDepartment of MathematicsCelestijnenlaan 200BB‐3001 Leuven Belgium

3. Mathematisches InstitutHHU DüsseldorfUniversitätsstr. 1 40225 Düsseldorf Germany

Funder

European Research Council

Labex

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

General Mathematics

Reference12 articles.

1. Quasi-o-minimal structures

2. Classification of semi‐algebraic p‐adic sets up to semi‐algebraic bijection;Cluckers R.;J. reine angew. Math.,2001

3. Presburger sets and p-minimal fields

4. Constructible motivic functions and motivic integration

5. G.Conant ‘There are no intermediate structures between the group of integers and Presburger arithmetic’ Preprint 2016 arXiv:1603.00454.

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Groups definable in Presburger arithmetic;Annals of Pure and Applied Logic;2025-01

2. A p-adic variant of Kontsevich–Zagier integral operation rules and of Hrushovski–Kazhdan style motivic integration;Journal für die reine und angewandte Mathematik (Crelles Journal);2021-08-14

3. Definable combinatorics with dense linear orders;Archive for Mathematical Logic;2020-01-22
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