Results 1 to 10 of about 243,988 (164)

On uniformly continuous maps between function spaces [PDF]

Fundamenta Mathematicae, 2019
In this paper we develop a technique of constructing uni- formly continuous maps between function spaces Cp(X) endowed with the pointwise topology. We prove that if a space X is compact metrizable and strongly countable-dimensional, then there exists a uniformly contin- uous surjection from Cp([0,1]) onto Cp(X).
Mikołaj Krupski, Rafał Górak, Witold Marciszewski   +2 more
exaly   +6 more sources

Continuous and uniformly continuous maps of powers of metric spaces

Topology and Its Applications, 1995
The clone \(Cl(A, {\mathbf A})\) of an object \(A\) in a category \(\mathbf A\) with finite products is the full subcategory of \(\mathbf A\) whose objects are the finite powers \(A^n\) of \(A\). The author investigates for metric spaces \(A\) the relations between \(Cl(A, \mathbf{Top})\) and \(Cl(A, \mathbf{Unif})\).
Vera Trnkova
exaly   +4 more sources

Strong convergence theorems for uniformly continuous pseudocontractive maps

Journal of Mathematical Analysis and Applications, 2006
Let \(K\) be a nonempty closed convex subset of a reflexive Banach space, \(T\) a uniformly continuous pseudocontraction, and let \(u \in K\). The authors establish several sufficient conditions under which the iteration process \(x_0 \in K\), \(x_{n+1} := \mu_n(\alpha_nTx_n + (1 - \alpha_n)x_n) + (1 - \mu_n)u\) converges strongly to a fixed point of \(
C E Chidume
exaly   +3 more sources

Peripheral Multiplicativity of Maps on Uniformly Closed Algebras of Continuous Functions Which Vanish at Infinity

Tokyo Journal of Mathematics, 2009
The authors extend one of the main results of [\textit{A.\,Luttman} and \textit{T.\,Tonev}, ``Uniform algebra isomorphisms and peripheral multiplicativity'', Proc.\ Am.\ Math.\ Soc.\ 135, No.\,11, 3589--3598 (2007; Zbl 1134.46030)] for the case of function algebras. The notion of function algebras considered in this paper is as follows.
Osamu Hatori, Hirokazu Oka, Hiroyuki Takagi   +2 more
exaly   +4 more sources

On the generic behavior of the metric entropy, and related quantities, of uniformly continuous maps over Polish metric spaces [PDF]

Mathematische Nachrichten, 2022
AbstractIn this work, we show that if f is a uniformly continuous map defined over a Polish metric space, then the set of f‐invariant measures with zero metric entropy is a set (in the weak topology). In particular, this set is generic if the set of f‐periodic measures is dense in the set of f‐invariant measures.
Carvalho, Silas L., Condori, Alexander
openaire   +4 more sources

Three Types of Distributional Chaos for a Sequence of Uniformly Convergent Continuous Maps

Advances in Mathematical Physics, 2022
Let hss=1∞ be a sequence of continuous maps on a compact metric space W which converges uniformly to a continuous map h on W. In this paper, some equivalence conditions or necessary conditions for the limit map h to be distributional chaotic are obtained
Risong Li, Tianxiu Lu, Jingmin Pi, Waseem Anwar   +3 more
doaj   +2 more sources

On a topologically uniformly continuous map

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
Let X and Y be metrizable spaces. A map X —> Y is called topologically uniformly continuous, if for every admissible metric р on X there is an admissible metric a on Y such that for the metric spaces (X, p) and (Y, a) the map (X, p) —^ (Y, a) is uniformly continuous. In this article such maps are investigated.
A. S. Bedritskiy
openaire   +2 more sources

Absolutely continuous invariant measures for random non-uniformly expanding maps [PDF]

Mathematische Zeitschrift, 2014
We prove existence of (at most denumerable many) absolutely continuous invariant probability measures for random one-dimensional dynamical systems with asymptotic expansion. If the rate of expansion (Lyapunov exponents) is bounded away from zero, we obtain finitely many ergodic absolutely continuous invariant probability measures, describing the ...
Araujo, Vitor, Solano, Javier
openaire   +5 more sources

Factorization of uniformly continuous maps through uniform shape fibrations

Glasnik matematički, 2015
It is well-known that every continuous map is the composite of a homotopy equivalence and a fibration. In this paper, we introduce the notion of uniform shape fibration, and show that every uniformly continuous map is the composite of a uniform shape equivalence and a uniform shape fibration.
Takahisa Miyata
openaire   +3 more sources

Asymmetry of posterior pole remodeling in high myopia [PDF]

Scientific Reports
To characterize posterior pole morphology in high myopia using widefield OCT angiography (OCTA)–derived curvature metrics, with particular emphasis on asymmetry and regional variation, and to determine whether posterior deformation shows structured ...
Ze–xu Wang, Bin Wei, Rui Li
doaj   +2 more sources