A Short Note on the Thom-Boardman Symbols of Differentiable Maps
Commutative Algebra
2011-06-21 v1 Algebraic Geometry
Abstract
It is well known that Thom-Boardman symbols are realized by non-increasing sequences of nonnegative integers. A natural question is whether the converse is also true. In this paper we answer this question affirmatively, that is, for any non-increasing sequence of nonnegative integers, there is a map-germ with the prescribed sequence as its Thom-Boardman symbol.
Keywords
Cite
@article{arxiv.1106.3920,
title = {A Short Note on the Thom-Boardman Symbols of Differentiable Maps},
author = {Yulan Wang and Jiayuan Lin and Maorong Ge},
journal= {arXiv preprint arXiv:1106.3920},
year = {2011}
}
Comments
5 pages, no figures