A+ CATEGORY SCIENTIFIC UNIT

Products of pseudofinite structures

Paola D’Aquino, Angus J. Macintyre Fundamenta Mathematicae MSC: Primary 03C20; Secondary 03C52 DOI: 10.4064/fm250715-28-12 Published online: 9 March 2026

Abstract

We prove that the product of any family of pseudofinite structures is pseudofinite using the fundamental work on products of first-order structures due to Feferman and Vaught (1959), exploiting the underlying combinatorics.

Authors

  • Paola D’AquinoDipartimento di Matematica e Fisica
    Università della Campania L. Vanvitelli
    81100 Caserta, Italy
    e-mail
  • Angus J. MacintyreSchool of Mathematics
    University of Edinburgh
    Edinburgh EH9 3FD, UK
    e-mail

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