Pseudofinite groups and VC-dimension

Journal of Mathematical Logic 21 (2):2150009 (2020)
  Copy   BIBTEX

Abstract

We develop “local NIP group theory” in the context of pseudofinite groups. In particular, given a sufficiently saturated pseudofinite structure G expanding a group, and left invariant NIP formula δ...

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 76,297

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Pseudofinite structures and simplicity.Darío García, Dugald Macpherson & Charles Steinhorn - 2015 - Journal of Mathematical Logic 15 (1):1550002.
Model theory of finite and pseudofinite groups.Dugald Macpherson - 2018 - Archive for Mathematical Logic 57 (1-2):159-184.
Dimensional groups and fields.Frank O. Wagner - 2020 - Journal of Symbolic Logic 85 (3):918-936.
Pseudofinite difference fields and counting dimensions.Tingxiang Zou - 2020 - Journal of Mathematical Logic 21 (1):2050022.
Local Ramsey theory: an abstract approach.Carlos Di Prisco, José G. Mijares & Jesús Nieto - 2017 - Mathematical Logic Quarterly 63 (5):384-396.
On Martin's Axiom and Forms of Choice.Eleftherios Tachtsis - 2016 - Mathematical Logic Quarterly 62 (3):190-203.
The Structure of an SL2-module of finite Morley rank.Jules Tindzogho Ntsiri - 2017 - Mathematical Logic Quarterly 63 (5):364-375.
Pseudofinite difference fields.Tingxiang Zou - 2019 - Journal of Mathematical Logic 19 (2):1950011.
Pseudofinite and Pseudocompact Metric Structures.Isaac Goldbring & Vinicius Cifú Lopes - 2015 - Notre Dame Journal of Formal Logic 56 (3):493-510.
On algebraic closure in pseudofinite fields.Özlem Beyarslan & Ehud Hrushovski - 2012 - Journal of Symbolic Logic 77 (4):1057-1066.
The HOD Hypothesis and a supercompact cardinal.Yong Cheng - 2017 - Mathematical Logic Quarterly 63 (5):462-472.

Analytics

Added to PP
2020-09-09

Downloads
2 (#1,401,974)

6 months
1 (#450,425)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

Hyperimaginaries and Automorphism Groups.D. Lascar & A. Pillay - 2001 - Journal of Symbolic Logic 66 (1):127-143.
Type-definability, compact lie groups, and o-minimality.Anand Pillay - 2004 - Journal of Mathematical Logic 4 (02):147-162.
Topological dynamics of definable group actions.Ludomir Newelski - 2009 - Journal of Symbolic Logic 74 (1):50-72.
On Bounded Type-Definable Equivalence Relations.Ludomir Newelski & Krzysztof Krupi?Ski - 2002 - Notre Dame Journal of Formal Logic 43 (4):231-242.

Add more references