English

The Pfaffian closure on an o-minimal structure

Rings and Algebras 2007-05-23 v1

Abstract

Every o-minimal expansion R-tilde of the real field has an o-minimal expansion P(R-tilde) in which the solutions to Pfaffian equations with definable C^1 coefficients are definable.

Keywords

Cite

@article{arxiv.math/9710220,
  title  = {The Pfaffian closure on an o-minimal structure},
  author = {Patrick Speissegger},
  journal= {arXiv preprint arXiv:math/9710220},
  year   = {2007}
}
R2 v1 2026-07-22T17:57:07.127Z