Examples concerning Whitney's Cm extension problem

Edward Bierstone; Charles Fefferman; Pierre D. Milman; WiesŁaw PawŁucki

doi:10.4310/mrl.2006.v13.n6.a1

Examples concerning Whitney's C^m extension problem

Edward Bierstone, Charles Fefferman, Pierre D. Milman, WiesŁaw PawŁucki

Mathematics

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2 Scopus citations

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)
Pages (from-to)	833-845
Number of pages	13
Journal	Mathematical Research Letters
Volume	13
Issue number	5-6
DOIs	https://doi.org/10.4310/mrl.2006.v13.n6.a1
State	Published - 2006

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/mrl.2006.v13.n6.a1

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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 Cm extension criterion of [F2], and the remaining three are counterexamples to Cm extension assuming a weaker criterion that was used to prove a C∞ extension theorem for closed subanalytic sets, in [BMP1].",

author = "Edward Bierstone and Charles Fefferman and Milman, {Pierre D.} and Wies{\L}aw Paw{\L}ucki",

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AU - Fefferman, Charles

AU - Milman, Pierre D.

AU - PawŁucki, WiesŁaw

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Y1 - 2006

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

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Examples concerning Whitney's C^m extension problem

Abstract

All Science Journal Classification (ASJC) codes

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