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

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

2011-06-20

arxiv.org/abs/1106.3920v1

Mathematics

Commutative Algebra

5 pages, no figures

Scientific paper

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.

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