English

Smooth maps with singularities of bounded K-codimensions

Geometric Topology 2007-05-23 v2

Abstract

We will prove the relative homotopy principle for smooth maps with singularities of a given {\cal K}-invariant class with a mild condition. We next study a filtration of the group of homotopy self-equivalences of a given manifold P by considering singularities of non-negative {\cal K}-codimensions.

Keywords

Cite

@article{arxiv.0704.0115,
  title  = {Smooth maps with singularities of bounded K-codimensions},
  author = {Yoshifumi Ando},
  journal= {arXiv preprint arXiv:0704.0115},
  year   = {2007}
}

Comments

Typographic errors are revised and several expressions are modified to better ones