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Growth and Structure of Equicontinuous Foliated Spaces
Molino’s description of Riemannian foliations on compact manifolds extends to compact equicontinuous foliated spaces as developed by Àlvarez Lòpez...
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The structure of mean equicontinuous group actions
We study mean equicontinuous actions of locally compact σ-compact amenable groups on compact metric spaces. In this setting, we establish the...
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On Equicontinuous Families of Map**s of Metric Spaces
We obtain analogs of the results on equicontinuity of families of quasiregular map**s that take no values from a fixed continuum. We prove that...
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Topological sensitivity for semiflow
We give a pointwise version of sensitivity in terms of open covers for a semiflow ( T , X ) of a topological semigroup T on a Hausdorff space X and call...
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Equicontinuity and Isolated Singularities of Map**s with the Inverse Poletsky Inequality
The results of this chapter were obtained together with S. Skvortsov. The chapter investigates map**s whose inverses distort the modulus of paths...
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On map**s with an analog of the hydrodynamical normalization in the Euclidean space
Spatial map**s that satisfy some spatial analog of the hydrodynamic condition in the vicinity of an infinitely remote point have been studied. It...
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On the Equicontinuity of Generalized Quasiconformal Map**s by Prime Ends
We study map**s satisfying the inverse Poletsky type inequality with respect to a non-conformal modulus. It was prove that such map**s, with some...
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Equicontinuity of Families of Map**s with the Inverse Poletsky Inequality in Terms of Prime Ends
The results of this chapter were obtained together with S. Skvortsov and N. Ilkevych. The chapter is devoted to the study of map**s whose inverse...
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The Systems with Almost Banach-Mean Equicontinuity for Abelian Group Actions
In this paper, we present the concept of Banach-mean equicontinuity and prove that the Banach-, Weyl- and Besicovitch-mean equicontinuities of a...
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On Equicontinuity of the Families of Map**s with One Normalization Condition in Terms of Prime Ends
We study map**s with branching satisfying certain conditions of distortion for the modulus of families of paths. Under the conditions that the...
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Equicontinuity and Sensitivity of Group Actions
Let ( X, G ) be a dynamical system ( G -system for short), that is, X is a topological space and G is an infinite topological group continuously acting...
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On the Inverse Poletsky Inequality in Metric Spaces and Prime Ends
We study map**s defined in the domain of a metric space that distort the modulus of families of paths by the type of the inverse Poletsky...
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On map**s with the inverse Poletsky inequality in metric spaces
We study map**s that satisfy the so-called inverse Poletsky inequality. Provided that the given domain has a weakly flat boundary, and the mapped...
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Almost Periodic Type Group Actions on Compact Quantum Metric Spaces
A compact quantum metric space is a complete order unit space A endowed with a Lipnorm L . We give some characterizations of almost periodic type...
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Normal Families of Generalized Quasiisometries
The results of this chapter were obtained together with A. Golberg and R. Salimov. The main result concerns open discrete map**s with (direct)...
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On N-Distal Homeomorphisms
In this work we study N -distal properties for homeomorphisms on compact metric spaces. For instance, we define N -equicontinuity and prove that every N ...
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Mean equicontinuity, almost automorphy and regularity
The aim of this article is to obtain a better understanding and classification of strictly ergodic topological dynamical systems with (measurable)...