English

Definability of the Integrability Locus in Polynomially Bounded o-Minimal Structures

Logic 2025-08-14 v1

Abstract

A note connecting arguments scattered in the extant literature proving that, in any o-minimal expansion of the real field, a definable family of sets has the property that the set of parameters corresponding to finite-volume fibers is definable.

Keywords

Cite

@article{arxiv.2508.09375,
  title  = {Definability of the Integrability Locus in Polynomially Bounded o-Minimal Structures},
  author = {L. C. Brown},
  journal= {arXiv preprint arXiv:2508.09375},
  year   = {2025}
}

Comments

7 pages

R2 v1 2026-07-01T04:47:16.953Z