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Cn Functions, Hausdorff Measures, and Analytic Sets

โœ Scribed by Emma D'Aniello; Udayan B. Darji


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
211 KB
Volume
164
Category
Article
ISSN
0001-8708

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โœฆ Synopsis


We characterize in terms of Hausdorff measures and descriptive complexity subsets M ฤฑ R which are

(1) the image under some C n function f of the set of points where derivatives of first n orders are zero, (2) the set of points where the level sets of some C n function are perfect, and

(3) the set of points where the level sets of some C n function are uncountable.


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