Metric properties of semialgebraic mappings
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Publication:309643
DOI10.1007/s00454-016-9776-4zbMath1349.14182arXiv1412.5088OpenAlexW2303359718WikidataQ59471214 ScholiaQ59471214MaRDI QIDQ309643
Anna Szlachcińska, Stanisław Spodzieja, Krzysztof Kurdyka
Publication date: 7 September 2016
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.5088
Semialgebraic sets and related spaces (14P10) Real-analytic sets, complex Nash functions (32C07) Nash functions and manifolds (14P20)
Related Items (6)
Łojasiewicz inequalities with explicit exponents for smallest singular value functions ⋮ On the effective Putinar's Positivstellensatz and moment approximation ⋮ Order of Tangency Between Manifolds ⋮ Effective Bertini theorem and formulas for multiplicity and the local Łojasiewicz exponent ⋮ Effective Lojasiewicz gradient inequality for Nash functions with application to finite determinacy of germs ⋮ Exponential convexifying of polynomials
Cites Work
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- An explicit bound for the Łojasiewicz exponent of real polynomials
- Equivalence of mappings at infinity
- Effective formulas for the local Łojasiewicz exponent
- New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors
- Stability index of real varieties
- Minimale Erzeugung von Positivbereichen
- Asymptotics for a class of non-linear evolution equations, with applications to geometric problems
- On the Łojasiewicz exponent
- On the complexity of Schmüdgen's Positivstellensatz
- Effective formulas for the Łojasiewicz exponent at infinity
- The Łojasiewicz exponent of an analytic function at an isolated zero
- Variétés polaires. I: Invariants polaires des singularites d'hypersurfaces
- Effective Łojasiewicz inequalities in semialgebraic geometry
- On basic semialgebraic sets
- Sur les exposants de Lojasiewicz
- Separation of algebraic sets and the Łojasiewicz exponent of polynomial mappings
- Multiplicities of Pfaffian intersections, and the Łojasiewicz inequality
- Geometric categories and o-minimal structures
- Hamiltonian stability and subanalytic geometry
- A note on separation of algebraic sets and the Łojasiewicz exponent for polynomial mappings
- On the division of distributions by polynomials
- On the effective Nullstellensatz
- Separation of real algebraic sets and the Łojasiewicz exponent
- Convexifying Positive Polynomials and Sums of Squares Approximation
- On improper isolated intersection in complex analytic geometry
- A Global Lojasiewicz Inequality for Algebraic Varieties
- Intersection theory and separation exponent in complex analytic geometry
- Multiplicity and the Łojasiewicz exponent
- Sur la complexité du principe de Tarski-Seidenberg
- Sharp Effective Nullstellensatz
- Intersection theory in complex analytic geometry
- Łojasiewicz Exponent of Overdetermined Mappings
- Optimization of Polynomials on Compact Semialgebraic Sets
- Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials
- The Łojasiewicz exponent of subanalytic sets
- Sur le problème de la division
- Algorithms in real algebraic geometry
- Proof of the gradient conjecture of R. Thom.
- The complexification and degree of a semi-algebraic set.
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