English

Products of pseudofinite structures

Logic 2024-11-15 v1

Abstract

We prove that any product of a family of pseudofinite structures is pseudofinite. The main tools are the fundamental results on products of first order structures due to Feferman and Vaught.

Keywords

Cite

@article{arxiv.2411.08808,
  title  = {Products of pseudofinite structures},
  author = {Paola D'Aquino and Angus Macintyre},
  journal= {arXiv preprint arXiv:2411.08808},
  year   = {2024}
}
R2 v1 2026-06-28T19:58:38.321Z