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A refined version of parametric transversality theorems - MaRDI portal

A refined version of parametric transversality theorems (Q2154917)

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A refined version of parametric transversality theorems
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    A refined version of parametric transversality theorems (English)
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    15 July 2022
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    The author upgrades the fundamental transversality results such as Thom's parametric transversality theorem and its improvement given by \textit{J. N. Mather} [Ann. Math. (2) 98, 226--245 (1973; Zbl 0242.58001)], for investigating properties of generic mappings and establishes a refined version from a new perspective of Hausdorff measures (Theorem 1.7). Some suggestive examples and comments illustrating these new results are given.
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    transversality theorem
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    genericity
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    Hausdorff measure
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