Transversality theorems on generic linearly perturbed mappings

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, so...

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1. Verfasser: Ichiki, Shunsuke
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Sprache:eng
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Zusammenfassung: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.
DOI:10.48550/arxiv.1806.04839