Extension and reconstruction theorems for the Urysohn universal metric space

Wiesław Kubiś; Matatyahu Rubin

Displaying similar documents to “Extension and reconstruction theorems for the Urysohn universal metric space”

Some quadratic integral inequalities of Opial type

Małgorzata Kuchta (1996)

Annales Polonici Mathematici

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We derive and investigate integral inequalities of Opial type: $\int_{I} s | h h ̇ | d t \leq \int_{I} r h ̇ ² d t$ , where h ∈ H, I = (α,β) is any interval on the real line, H is a class of absolutely continuous functions h satisfying h(α) = 0 or h(β) = 0. Our method is a generalization of the method of [3]-[5]. Given the function r we determine the class of functions s for which quadratic integral inequalities of Opial type hold. Such classes have hitherto been described as the classes of solutions of a certain differential equation....

A metric tangential calculus.

Burroni, Elisabeth, Penon, Jacques (2010)

Theory and Applications of Categories [electronic only]

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Generalized contractions and common fixed point theorems concerning $τ$ -distance.

Vakilabad, A.Bagheri, Vaezpour, S.Mansour (2010)

The Journal of Nonlinear Sciences and its Applications

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Kannan fixed point theorem on generalized metric spaces.

Azam, Akbar, Arshad, Muhammad (2008)

The Journal of Nonlinear Sciences and its Applications

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On some integral inequalities with modified argument and applications.

Olaru, Ion-Marian (2005)

General Mathematics

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More on inequalities of Simpson type.

Liu, Zheng (2007)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On linear operators and functors extending pseudometrics

C. Bessaga (1993)

Fundamenta Mathematicae

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For some pairs (X,A), where X is a metrizable topological space and A its closed subset, continuous, linear (i.e., additive and positive-homogeneous) operators extending metrics for A to metrics for X are constructed. They are defined by explicit analytic formulas, and also regarded as functors between certain categories. An essential role is played by "squeezed cones" related to the classical cone construction. The main result: if A is a nondegenerate absolute neighborhood retract for...

On the Ostrowski type integral inequality.

Sarikaya, M.Z. (2010)

Acta Mathematica Universitatis Comenianae. New Series

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Each nowhere dense nonvoid closed set in Rn is a σ-limit set

Andrei Sivak (1996)

Fundamenta Mathematicae

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We discuss main properties of the dynamics on minimal attraction centers (σ-limit sets) of single trajectories for continuous maps of a compact metric space into itself. We prove that each nowhere dense nonvoid closed set in $ℝ^{n}$ , n ≥ 1, is a σ-limit set for some continuous map.

Connected covers and Neisendorfer's localization theorem

C. McGibbon, J. Møller (1997)

Fundamenta Mathematicae

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Our point of departure is J. Neisendorfer's localization theorem which reveals a subtle connection between some simply connected finite complexes and their connected covers. We show that even though the connected covers do not forget that they came from a finite complex their homotopy-theoretic properties are drastically different from those of finite complexes. For instance, connected covers of finite complexes may have uncountable genus or nontrivial SNT sets, their Lusternik-Schnirelmann...

Hyperconvexity of ℝ-trees

W. Kirk (1998)

Fundamenta Mathematicae

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It is shown that for a metric space (M,d) the following are equivalent: (i) M is a complete ℝ-tree; (ii) M is hyperconvex and has unique metric segments.