On semialgebraic points of definable sets

Artur Piękosz

Displaying similar documents to “On semialgebraic points of definable sets”

Analytic cell decomposition of sets definable in the structure $ℝ_{e x p}$

Ta Lê Loi (1994)

Annales Polonici Mathematici

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We prove that every set definable in the structure $ℝ_{e x p}$ can be decomposed into finitely many connected analytic manifolds each of which is also definable in this structure.

Isolated intersection multiplicity and regular separation of analytic sets

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.

Whitney stratification of sets definable in the structure $ℝ_{e x p}$

Ta Loi (1996)

Banach Center Publications

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The aim of this paper is to prove that every subset of $ℝ^{n}$ definable from addition, multiplication and exponentiation admits a stratification satisfying Whitney’s conditions a) and b).

Growth at infinity of a polynomial with a compact zero set

Janusz Gwoździewicz (1998)

Banach Center Publications

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Residual representation of algebraic-geometric codes.

Hübl, Reinhold (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Intersection theory in complex analytic geometry

Piotr Tworzewski (1995)

Annales Polonici Mathematici

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We present a construction of an intersection product of arbitrary complex analytic cycles based on a pointwise defined intersection multiplicity.

Characterization of smooth, compact algebraic curves in ℝ²

L. Bos, N. Levenberg, B. Taylor (1995)

Banach Center Publications

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The growth of regular functions on algebraic sets

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 $ℂ^{n}$ . 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.