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arXiv · 1806.04839

Transversality theorems on generic linearly perturbed mappings

Shunsuke Ichiki
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Abstract

In his celebrated paper "Generic projections", John Mather has given a striking transversality theorem and its applications on generic projections. On the other hand, in this paper, two transversality theorems on generic linearly perturbed $C^r$ mappings are shown $(r\geq 1)$. Moreover, some applications of the two theorems are also given.

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Shunsuke Ichiki. 2018-06-13. Transversality theorems on generic linearly perturbed mappings. https://arxiv.org/abs/1806.04839

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