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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.identifier.doi10.14760/OWP-2009-03
local.scientificprogramResearch in Pairs 2008
local.series.idOWP-2009-03
local.subject.msc14
local.subject.msc32


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