The Morse–Sard theorem for Clarke critical values

Author	dc.contributor.author	Barbet, Luc
Author	dc.contributor.author	Dambrine, Marc	es_CL
Author	dc.contributor.author	Daniilidis, Aris	es_CL
Admission date	dc.date.accessioned	2014-01-29T19:56:58Z
Available date	dc.date.available	2014-01-29T19:56:58Z
Publication date	dc.date.issued	2013
Cita de ítem	dc.identifier.citation	Advances in Mathematics 242 (2013) 217–227	en_US
Identifier	dc.identifier.other	DOI 10.1016/j.aim.2013.03.024
Identifier	dc.identifier.uri	https://repositorio.uchile.cl/handle/2250/119730
General note	dc.description	Artículo de publicación ISI	en_US
Abstract	dc.description.abstract	The Morse–Sard theorem states that the set of critical values of a Ck smooth function defined on a Euclidean space Rd has Lebesgue measure zero, provided k ≥ d. This result is hereby extended for (generalized) critical values of continuous selections over a compactly indexed countable family of Ck functions: it is shown that these functions are Lipschitz continuous and the set of their Clarke critical values is null.	en_US
Lenguage	dc.language.iso	en	en_US
Publisher	dc.publisher	Elsevier	en_US
Type of license	dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Chile	*
Link to License	dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/cl/	*
Keywords	dc.subject	Morse–Sard theorem	en_US
Título	dc.title	The Morse–Sard theorem for Clarke critical values	en_US
Document type	dc.type	Artículo de revista

Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Chile