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The complexity of classifying continuous t-norms up to isomorphism

Logic 2025-12-18 v3 General Topology

Abstract

It is shown that the isomorphism relation between continuous t-norms is Borel bireducible with the relation of order isomorphism between linear orders on the set of natural numbers, and therefore, it is a Borel complete equivalence relation.

Keywords

Cite

@article{arxiv.2408.16456,
  title  = {The complexity of classifying continuous t-norms up to isomorphism},
  author = {Jialiang He and Lili Shen and Yi Zhou},
  journal= {arXiv preprint arXiv:2408.16456},
  year   = {2025}
}

Comments

15 pages, revised version