English

On Transverse Triangulations

Differential Geometry 2010-12-20 v1

Abstract

We show that every smooth manifold admits a smooth triangulation transverse to a given smooth map. This removes the properness assumption on the smooth map used in an essential way in Scharlemann's construction [5].

Keywords

Cite

@article{arxiv.1012.3979,
  title  = {On Transverse Triangulations},
  author = {Aleksey Zinger},
  journal= {arXiv preprint arXiv:1012.3979},
  year   = {2010}
}

Comments

6 pages

R2 v1 2026-06-21T17:00:44.722Z