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Displaying 381 – 400 of 403

Variétés polaires. I. Invariants polaires des singularités d'hypersurfaces.

B. Teissier (1977)

Inventiones mathematicae

Volume and multiplicities of real analytic sets

Guillaume Valette (2005)

Annales Polonici Mathematici

We give criteria of finite determinacy for the volume and multiplicities. Given an analytic set described by {v = 0}, we prove that the log-analytic expansion of the volume of the intersection of the set and a "little ball" is determined by that of the set defined by the Taylor expansion of v up to a certain order if the mapping v has an isolated singularity at the origin. We also compare the cardinalities of finite fibers of projections restricted to such a set.

Weierstrass division theorem in quasianalytic local rings

Abdelhafed Elkhadiri, Hassan Sfouli (2008)

Studia Mathematica

The main result of this paper is the following: if the Weierstrass division theorem is valid in a quasianalytic differentiable system, then this system is contained in the system of analytic germs. This result has already been known for particular examples, such as the quasianalytic Denjoy-Carleman classes.

Weierstrass preparation of quadratic differentials.

Gilbert Stengle (1988)

Aequationes mathematicae

When ... (f) Convergent Implies f is Convergent.

Paul M. Eakin, Gary A. Harris (1977)

Mathematische Annalen

Whitney regularity and generic wings

V. Navarro Aznar, David J. A. Trotman (1981)

Annales de l'institut Fourier

Given adjacent subanalytic strata $(X, Y)$ in $R^{n}$ verifying Kuo’s ratio test $(r)$ (resp. Verdier’s $(w)$ -regularity) we find an open dense subset of the codimension $k$ $C^{1}$ submanifolds $W$ (wings) containing $Y$ such that $(X \cap W, Y)$ is generically Whitney $(b^{π})$ -regular is exactly one more than the dimension...

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

Ta Loi (1996)

Banach Center Publications

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).