English

Normal triangulations in o-minimal structures

Logic 2007-10-31 v1

Abstract

We work over an o-minimal expansion of a real closed field R. Given a closed simplicial complex K and a finite number of definable subsets of its realization |K| in R we prove that there exists a triangulation (K',f) of |K| compatible with the definable subsets such that K' is a subdivision of K and f is definably homotopic to the identity on |K|.

Keywords

Cite

@article{arxiv.0710.5718,
  title  = {Normal triangulations in o-minimal structures},
  author = {Elias Baro},
  journal= {arXiv preprint arXiv:0710.5718},
  year   = {2007}
}
R2 v1 2026-06-21T09:38:05.212Z