Revisiting differential calculus in the light of an uncanny function
| Autor: | Elisabeth Burroni, Jacques Penon |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Jet (mathematics) Astrophysics::High Energy Astrophysical Phenomena 010102 general mathematics Tangent Differential calculus Function (mathematics) 16. Peace & justice 01 natural sciences Inversion (discrete mathematics) Linear map 0103 physical sciences Metric (mathematics) Calculus High Energy Physics::Experiment Point (geometry) 010307 mathematical physics 0101 mathematics Mathematics |
| Zdroj: | Journal of Pure and Applied Algebra. 216(8-9):1748-1756 |
| ISSN: | 0022-4049 |
| DOI: | 10.1016/j.jpaa.2012.02.014 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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