paper

Fibrations of highly singular map germs

arXiv:1711.07544 · doi:10.1016/j.bulsci.2019.05.001

Abstract

We define local fibration structures for real map germs with strictly positive dimensional discriminant: a local fibration structure over the complement of the discriminant, and a complete local fibration structure which includes the stratified discriminant into the picture. We provide new classes of map germs endowed with such local fibration structures.

17 pages. Small changes: last part of the proof or Theorem 2.7 and the preliminary part of the proof of Theorem 4.3; updated references