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Topological Conjugacy of the Simplest Nonsingular Three-Dimensional Flows
The simplest nonsingular flows on closed orientable 3-manifolds are studied. We establish that each class of topological equivalence of the simplest...
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Constructing Tree-Decompositions That Display All Topological Ends
We give a short, topological proof that all graphs admit tree-decompositions displaying their topological ends.
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On locally compact groups of small topological entropy
We discuss the finiteness of the topological entropy of continuous endomorphims for some classes of locally compact groups. Firstly, we focus on the...
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Topological Data Analysis
It has been observed since a long time that data are often carrying interesting topological and geometric structures. Characterizing such structures...
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Local Composition and Gesture Classification
Local compositions and gestures are the basic structures in classical musical concept spaces. They are essentially subsets in modules, such as...
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Computations of Topological Structure Sets of some Prominent Closed Manifolds
In this chapter we present some calculations of the (simple) structure sets of connected closed manifolds M. We concentrate on the topological...
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On the Topological Entropy of Saturated Sets for Amenable Group Actions
Let ( X , G ) be a G -action topological system, where G is a countable infinite discrete amenable group and X a compact metric space. We prove a...
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A Unified Approach to Shape and Topological Sensitivity Analysis of Discretized Optimal Design Problems
We introduce a unified sensitivity concept for shape and topological perturbations and perform the sensitivity analysis for a discretized...
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Topological reducibilities for discontinuous functions and their structures
In this article, we give a full description of the topological many-one degree structure of real-valued functions, recently introduced by...
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Topological Dynamics on the Torus
In this chapter, we use the torus to illustrate the basic ideas behind the topological classification of map**s. We introduce the map** class...
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Poincaré Inequality and Topological Rigidity of Translators and Self-Expanders for the Mean Curvature Flow
We prove an abstract structure theorem for weighted manifolds supporting a weighted f -Poincaré inequality and whose ends satisfy a suitable...
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Sub-additive Unstable Topological Pressure of Diffeomorphisms
In this paper, we study unstable topological pressure for C 1 -smooth partially hyperbolic diffeomorphisms with sub-additive potentials. Moreover,...
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Short Topological Decompositions of Non-orientable Surfaces
In this article, we investigate short topological decompositions of non-orientable surfaces and provide algorithms to compute them. Our main result...
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Approximate Topological Conjugacy
In this article, we study approximately topological conjugacies for continuous maps on compact metric spaces. It is proven that topological entropy...
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A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces...
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A Topological–Analytical Method for Proving Averaging Theorems on an Infinite Time Interval in a Degenerate Case
AbstractWe present a topological–analytical method for proving some results of the N. N. Bogolyubov averaging method for the case of an infinite...
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Topological Drawings Meet Classical Theorems from Convex Geometry
In this article we discuss classic theorems from Convex Geometry in the context of topological drawings and beyond. In a simple topological drawing...
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A Topological Approach for Motion Track Discrimination
Detecting small targets at range is difficult because there is not enough spatial information present in an image sub-region containing the target to...
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Topological rigidity of good fractal necklaces
We introduce and characterize extremal 2-cuts for good fractal necklaces. Using this characterization and the related topological properties of...
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About Error Bounds in Metrizable Topological Vector Spaces
This paper aims to present some sufficient criteria under which a given function between two spaces that are either topological vector spaces whose...