English

Continuous Sentences Preserved Under Reduced Products

Logic 2020-09-09 v1

Abstract

Answering a question of Cif\'u Lopes, we give a syntactic characterization of those continuous sentences that are preserved under reduced products of metric structures. In fact, we settle this question in the wider context of general structures as introduced by the second author.

Cite

@article{arxiv.1905.10673,
  title  = {Continuous Sentences Preserved Under Reduced Products},
  author = {Isaac Goldbring and H. Jerome Keisler},
  journal= {arXiv preprint arXiv:1905.10673},
  year   = {2020}
}

Comments

34 pages

R2 v1 2026-06-23T09:24:12.622Z