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dc.contributor.authorKurdyka, Krzysztof
dc.contributor.authorParusinski, Adam
dc.date.accessioned2009-03-20T12:00:26Z
dc.date.accessioned2016-10-05T14:14:10Z
dc.date.available2009-03-20T12:00:26Z
dc.date.available2016-10-05T14:14:10Z
dc.date.issued2009-02-21
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1138
dc.descriptionResearch in Pairs 2008en_US
dc.description.abstractA function is called arc-analytic if it is real analytic on each real analytic arc. In real analytic geometry there are many examples of arc-analytic functions that are not real analytic. Arc analytic functions appear while studying the arc-symmetric sets and the blow-analytic equivalence. In this paper we show that the non-analyticity locus of an arc-analytic function is arc-symmetric. We discuss also the behavior of the non-analyticity locus under blowings-up. By a result of Bierstone and Milman a big class of arc-analytic function, namely those that satisfy a polynomial equation with real analytic coefficients, can be made analytic by a sequence of global blowings-up with smooth centers. We show that these centers can be chosen, at each stage of the resolution, inside the non-analyticity locus.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2009,03
dc.titleOn the non-analyticity locus of an arc-analytic functionen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2009-03
local.scientificprogramResearch in Pairs 2008
local.series.idOWP-2009-03
local.subject.msc14
local.subject.msc32
dc.identifier.urnurn:nbn:de:101:1-20090325156
dc.identifier.ppn1649512104


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