Displaying similar documents to “A fixed-point theorem for homeomorphisms of R 2 n ”

Compositions of equi-dimensional fold maps

Yoshihiro Hirato, Masamichi Takase (2012)

Fundamenta Mathematicae

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According to Ando's theorem, the oriented bordism group of fold maps of n-manifolds into n-space is isomorphic to the stable n-stem. Among such fold maps we define two geometric operations corresponding to the composition and to the Toda bracket in the stable stem through Ando's isomorphism. By using these operations we explicitly construct several fold maps with convenient properties, including a fold map which represents the generator of the stable 6-stem.

On the structure of homeomorphisms of the open annulus

Lucien Guillou (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

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Let h be a without fixed point lift to the plane of a homeomorphism of the open annulus isotopic to the identity and without wandering point. We show that h admits a h -invariant dense open set O on which it is conjugate to a translation and we study the action of h on the compactly connected components of the closed and without interior set R 2 ∖ O .

Universal stability of Banach spaces for ε -isometries

Lixin Cheng, Duanxu Dai, Yunbai Dong, Yu Zhou (2014)

Studia Mathematica

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Let X, Y be real Banach spaces and ε > 0. A standard ε-isometry f: X → Y is said to be (α,γ)-stable (with respect to T : L ( f ) ≡ s p a n ¯ f ( X ) → X for some α,γ > 0) if T is a linear operator with ||T|| ≤ α such that Tf- Id is uniformly bounded by γε on X. The pair (X,Y) is said to be stable if every standard ε-isometry f: X → Y is (α,γ)-stable for some α,γ > 0. The space X[Y] is said to be universally left [right]-stable if (X,Y) is always stable for every Y[X]. In this paper, we show that universally...

Global stability for diagrams of differentiable applications

Luis Antonio Favaro, C. M. Mendes (1986)

Annales de l'institut Fourier

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In this paper, we give some examples which point to the non-existence of C ∞ -global stable diagrams R ← g M → f R , M compact. If Φ : M → Q is fixed we define the Φ -equivalence for maps f : M → P and the corresponding Φ -stability. The globalization procedure works and we can compare the Φ -stability, Φ -infinitesimal stability, and Φ -homotopical stability. Also we give some characterization theorems for lower dimensions.

About the density of spectral measure of the two-dimensional SaS random vector

Marta Borowiecka-Olszewska, Jolanta K. Misiewicz (2003)

Discussiones Mathematicae Probability and Statistics

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In this paper, we consider a symmetric α-stable p-sub-stable two-dimensional random vector. Our purpose is to show when the function e x p - ( | a | p + | b | p ) α / p is a characteristic function of such a vector for some p and α. The solution of this problem we can find in [3], in the language of isometric embeddings of Banach spaces. Our proof is based on simple properties of stable distributions and some characterization given in [4].

A Note on the Uniqueness of Stable Marriage Matching

Ewa Drgas-Burchardt (2013)

Discussiones Mathematicae Graph Theory

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In this note we present some sufficient conditions for the uniqueness of a stable matching in the Gale-Shapley marriage classical model of even size. We also state the result on the existence of exactly two stable matchings in the marriage problem of odd size with the same conditions.

Vector Optimization Results for ℓ -Stable Data

Marie Dvorská (2013)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The aim of this paper is to summarize basic facts about ℓ -stable at a point vector functions and existing results for certain vector constrained programming problem with ℓ -stable data.