Abstract
A lemma is presented which is a weak version of the inverse function theorem, in that differentiability is assumed instead of continuous differentiability. The result holds only for finite dimensional spaces; a counter-example is given for the infinite dimensional analogue. The lemma is used to answer a question posed by Nadler concerning differentiable retracts.
Original language | English |
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Pages (from-to) | 37-43 |
Number of pages | 7 |
Journal | Bulletin of the Australian Mathematical Society |
Volume | 18 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1978 |