Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623549 | Journal of Mathematical Analysis and Applications | 2006 | 13 Pages |
Abstract
We prove a theorem that characterizes continuous normed linear space-valued curves allowing differentiable parameterizations with non-zero derivatives as those curves, all the points of which are regular (in Choquet's sense). We also state an equivalent geometric condition not involving any homeomorphisms. This extends a theorem due to Choquet, who proved a similar result for curves with values in Euclidean spaces.
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