### 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 |
---|---|

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 |

## Fingerprint Dive into the research topics of 'Differentiable retracts and a modified inverse function theorem'. Together they form a unique fingerprint.

## Cite this

Barit, W., & Wood, G. R. (1978). Differentiable retracts and a modified inverse function theorem.

*Bulletin of the Australian Mathematical Society*,*18*(1), 37-43. https://doi.org/10.1017/S0004972700007784