vix.ing · top · new · best · stats · spec

A Short Note on the Thom-Boardman Symbols of Differentiable Maps

2011/06/20 by Yulan Wang, Wang, Yulan, Jiayuan Lin +3
Computer Science · Engineering · Mathematics · #14B05 #14H20 #32S05 #58K40 #Advanced Algebra and Logic #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #graph theory and CDMA systems #math.AC #math.AG #msc:14B05 #msc:14H20 #msc:32S05 #msc:58K40

paper · pdf · doi:10.48550/arxiv.1106.3920

5 pages, no figures

arxiv created 2011/06/20 · openalex publication_date 2011/06/20 · arxiv updated 2011/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

Related