A SHORT NOTE ON THE THOM–BOARDMAN SYMBOLS OF DIFFERENTIABLE MAPS
Yulan Wang, Jiayuan Lin, Maorong Ge · Journal of the Australian Mathematical Society · 2012
Abstract It is well known that Thom–Boardman symbols are realized by nonincreasing 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 nonincreasing sequence of nonnegative integers, there is at least one map-germ with the prescribed sequence as its Thom–Boardman symbol.