A theorem on the escape from the space of hyperbolic polynomials

DOI10.1007/BF02571438zbMath0763.58006OpenAlexW1974761361MaRDI QIDQ1204293

Ivan Meguerditchian

Publication date: 3 March 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174451

zbMATH Keywords

hyperbolic polynomials\(s\)-maximality

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (6)

Combinatorics \(\&\) topology of stratifications of the space of monic polynomials with real coefficients ⋮ Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions ⋮ On multiplier sequences ⋮ On the equivariant Betti numbers of symmetric definable sets: vanishing, bounds and algorithms ⋮ Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets ⋮ On arrangements of roots for a real hyperbolic polynomial and its derivatives

Cites Work

• Moments of random variables and the equivariant Morse lemma
• On the geometric properties of Vandermonde's mapping and on the problem of moments
• Unnamed Item

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