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Krzysztof Kurdyka (1994)
Annales Polonici Mathematici
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We construct an arc-analytic function (i.e. analytic on every real-analytic arc) in ℝ² which is analytic outside a nondiscrete subset of ℝ².
Zhang, Pingping (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ta Lê Loi (1994)
Annales Polonici Mathematici
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We prove that every set definable in the structure can be decomposed into finitely many connected analytic manifolds each of which is also definable in this structure.
Nishiwaki, Junichi, Owa, Shigeyoshi (2007)
Acta Universitatis Apulensis. Mathematics - Informatics
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Frasin, B.A. (2006)
General Mathematics
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Hussain, Saquib (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Åhag, Per, Czyż, Rafał, Lodin, Sam, Wikström, Frank (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Owa, Shigeyoshi, Nishiwaki, Junichi, Niwa, Norio (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Ebadian, A., Shams, S., Wang, Zhi-Gang, Sun, Yong (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Muhammad, Ali (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Goswami, Pranay, Wang, Zhi--Gang (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Khan, Mumtaz Ahmad, Najmi, M. (2002)
Novi Sad Journal of Mathematics
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Latha, S., Raju, D.S. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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Zbigniew Błocki (1992)
Annales Polonici Mathematici
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We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.