### Abstract

We present several examples connected with our articles on Whitney's extension problem. The first shows that Glaeser iterations cannot be avoided in the C^{m} extension criterion of [F2], and the remaining three are counterexamples to C^{m} extension assuming a weaker criterion that was used to prove a C^{∞} extension theorem for closed subanalytic sets, in [BMP1].

Original language | English (US) |
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Pages (from-to) | 833-845 |

Number of pages | 13 |

Journal | Mathematical Research Letters |

Volume | 13 |

Issue number | 5-6 |

DOIs | |

State | Published - 2006 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Bierstone, E., Fefferman, C., Milman, P. D., & PawŁucki, W. (2006). Examples concerning Whitney's C

^{m}extension problem.*Mathematical Research Letters*,*13*(5-6), 833-845. https://doi.org/10.4310/mrl.2006.v13.n6.a1