Revisiting differential calculus in the light of an uncanny function |
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Authors: | Elisabeth Burroni Jacques Penon |
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Institution: | Institut de Mathématiques; Université Paris Diderot, Paris7, Paris, France |
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Abstract: | A metric jet can be linear without being the metric jet of a continuous linear map. We begin with giving such an amazing example and then we get interested in tangentiable maps whose tangent jet at a point is precisely a linear metric jet. For such maps, a local inversion theorem is still true. |
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