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On smooth maps with finitely many critical points

Geometric Topology 2007-05-23 v3 Algebraic Topology Differential Geometry

Abstract

We compute the minimum number of critical points of a small codimension smooth map between two manifolds. We give as well some partial results for the case of higher codimension when the manifolds are spheres.

Keywords

Cite

@article{arxiv.math/0106020,
  title  = {On smooth maps with finitely many critical points},
  author = {Dorin Andrica and Louis Funar},
  journal= {arXiv preprint arXiv:math/0106020},
  year   = {2007}
}

Comments

revised version, 15 pages, to appear J.London Math.Soc