科研之友
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摘要
The metric jets, introduced here, generalize the jets (at order one) of Charles Ehresmann. In short, for a "good" map f (said to be "tangentiable" at a) between metric spaces, we define its metric jet tangent at a (composed of all the maps which are locally lipschitzian at a and tangent to f at a) called the "tangential" off at a, and denoted Tf-a. So, in this metric context, we define a "new differentiability" (called "tangentiability") which extends the classical differentiability (while preserving most of its properties) to new maps, traditionally pathologic.
- 出版日期2010
