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

Yulan Wang; Jiayuan Lin; Maorong Ge

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arXiv · 1106.3920

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

Yulan Wang·Jiayuan Lin·Maorong Ge

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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.

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Yulan Wang, Jiayuan Lin, Maorong Ge. 2011-06-20. A Short Note on the Thom-Boardman Symbols of Differentiable Maps. https://arxiv.org/abs/1106.3920

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