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O-minimal version of Whitney's extension theorem


O-minimal version of Whitney's extension theorem

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dc.contributor.author Kurdyka, Krzysztof pl
dc.contributor.author Pawłucki, Wiesław [SAP11009942] pl
dc.date.accessioned 2015-03-17T11:18:00Z
dc.date.available 2015-03-17T11:18:00Z
dc.date.issued 2014 pl
dc.identifier.issn 0039-3223 pl
dc.identifier.uri http://ruj.uj.edu.pl/xmlui/handle/item/3878
dc.language eng pl
dc.title O-minimal version of Whitney's extension theorem pl
dc.type JournalArticle pl
dc.description.physical 81-96 pl
dc.abstract.en This is a generalized and improved version of our earlier article [Studia Math. 124 (1997)] on the Whitney extension theorem for subanalytic Cp-Whitney fields (with p finite). In this new version we consider Whitney fields definable in an arbitrary o-minimal structure on any real closed field R and obtain an extension which is a Cp-function definable in the same o-minimal structure. The Whitney fields that we consider are defined on any locally closed definable subset of Rn. In such a way, a local version of the theorem is included. pl
dc.description.volume 224 pl
dc.description.number 1 pl
dc.identifier.doi 10.4064/sm224-1-4 pl
dc.identifier.eissn 1730-6337 pl
dc.title.journal Studia Mathematica pl
dc.language.container eng pl
dc.affiliation Wydział Matematyki i Informatyki : Instytut Matematyki pl
dc.subtype Article pl
dc.rights.original bez licencji pl
.pointsMNiSW [2014 A]: 25

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