Piotr Tworzewski (1993)
Annales Polonici Mathematici
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An isolated point of intersection of two analytic sets is considered. We give a sharp estimate of their regular separation exponent in terms of intersection multiplicity and local degrees.
Sławomir Rams (2000)
Annales Polonici Mathematici
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We prove that the generalized index of intersection of an analytic set with a closed submanifold (Thm. 4.3) and the intersection product of analytic cycles (Thm. 5.4), which are defined in [T₂], are intrinsic. We define the intersection product of analytic cycles on a reduced analytic space (Def. 5.8) and prove a relation of its degree and the exponent of proper separation (Thm. 6.3).
Krasiński, Tadeusz (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Frasin, B.A. (2006)
General Mathematics
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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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Zhang, Pingping (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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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.
A. Strzeboński (1991)
Annales Polonici Mathematici
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We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of . We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.
Jacek Chądzyński, Tadeusz Krasiński (1998)
Banach Center Publications
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An effective formula for the Łojasiewicz exponent for analytic curves in a neighbourhood of 0 ∈ ℂ is given.
T. Krasiński (1991)
Annales Polonici Mathematici
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Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.
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.
Muhammad, Ali (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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Shiraishi, Hitoshi, Owa, Shigeyoshi (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Latha, S., Raju, D.S. (2008)
Acta Mathematica Universitatis Comenianae. New Series
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