The mappings of degree 1.

Krein, Maria Nechemevna

Displaying similar documents to “The mappings of degree 1.”

The set of points at which a polynomial map is not proper

Zbigniew Jelonek (1993)

Annales Polonici Mathematici

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We describe the set of points over which a dominant polynomial map $f = (f_{1}, . . ., f_{n}) : ℂ^{n} \to ℂ^{n}$ is not a local analytic covering. We show that this set is either empty or it is a uniruled hypersurface of degree bounded by $(\prod_{i = 1}^{n} d e g f_{i} - μ (f)) / (m i n_{i = 1, . . ., n} d e g f_{i})$ .

Merging of degree and index theory.

Väth, Martin (2006)

Fixed Point Theory and Applications [electronic only]

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Algebraically solvable problems: describing polynomials as equivalent to explicit solutions.

Schauz, Uwe (2008)

The Electronic Journal of Combinatorics [electronic only]

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On the dispersions of the polynomial maps over finite fields.

Schauz, Uwe (2008)

The Electronic Journal of Combinatorics [electronic only]

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Classification of degree 2 polynomial automorphisms of C.

John Erik Fornaess, He Wu (1998)

Publicacions Matemàtiques

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For the family of degree at most 2 polynomial self-maps of C³ with nowhere vanishing Jacobian determinant, we give the following classification: for any such map f, it is affinely conjugate to one of the following maps: (i) An affine automorphism; (ii) An elementary polynomial autormorphism E(x, y, z) = (P(y, z) + ax, Q(z) + by, cz + d), where P and Q are polynomials with max{deg(P), deg(Q)} = 2 and abc ≠ 0. ...

On the topological degree

Joseph Weier (1956-1958)

Compositio Mathematica

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On the nonexistence of some interpolatory polynomials.

Anderson, C.H., Prasad, J. (1986)

International Journal of Mathematics and Mathematical Sciences

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On the théorème fondamental of J. Leray and J. Schauder

Ivar Massabò, Alfonso Vignoli (1989)

Colloquium Mathematicae

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Generalized degree in normed spaces.

Francisco Romero Ruiz del Portal (1992)

Publicacions Matemàtiques

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We present a generalized degree theory for continuous maps f: (D, ∂D) → (E, E0), where E is a normed vectorial space, D is an open subset of R x E such that p(D) is bounded in R and f is a compact perturbation of the second projection p: R x E → E.

The product formula.

Genaro López Acedo (1991)

Collectanea Mathematica

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A useful property of the Brouwerdegree relates the degree of a composition of maps to the degree of each map. This property, which can be generalized for the Leray Schauder degree and in some cases for the A-proper maps is called the Product Formula. In a previous paper we developed a generalized degree theory for a class of mappings, this class contains the class of A-proper mappings and compact mappings. In this paper we prove a generalization of the Product Formula when one factor...

A degree theory for locally compact perturbations of Fredholm maps in Banach spaces.

Benevieri, Pierluigi, Furi, Massimo (2006)

Abstract and Applied Analysis

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Commutators and linearizations of isochronous centers

Luisa Mazzi, Marco Sabatini (2000)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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We study isochronous centers of some classes of plane differential systems. We consider systems with constant angular speed, both with homogeneous and nonhomogenous nonlinearities. We show how to construct linearizations and first integrals of such systems, if a commutator is known. Commutators are found for some classes of systems. The results obtained are used to prove the isochronicity of some classes of centers, and to find first integrals for a class of Liénard equations with isochronous...