English

A homotopy principle for maps with prescribed Thom-Boardman singularities

Geometric Topology 2007-05-23 v3

Abstract

Let N and P be smooth manifolds of dimensions n and p (n>=p>=2). Let Omega^{I}(N,P) denote an open subspace of J(N,P) which consists of all Boardman submanifolds Sigma^{J}(N,P) with J=< I in the lexicographic order. We will prove the homotopy principle in the existence level for Omega^{I}(N,P).

Keywords

Cite

@article{arxiv.math/0309204,
  title  = {A homotopy principle for maps with prescribed Thom-Boardman singularities},
  author = {Yoshifumi Ando},
  journal= {arXiv preprint arXiv:math/0309204},
  year   = {2007}
}

Comments

The author added the description interpreting the homomorphism in (3.1) and revised several careless misprints

R2 v1 2026-07-22T16:57:39.829Z