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Quasimöbius invariance of Loewner spaces
In this paper, we show that Loewner spaces introduced by Heinonen and Koskela (Acta Math., 1998) are preserved under quasimöbius map**s between...
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Relative Quasisymmetry and Quasimöbius Map**s in Quasi-metric Spaces
The aim of this paper is to investigate the relationship between relative quasisymmetry and quasimöbius in quasi-metric spaces, and show that a...
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Multivalued Map**s with the Quasimöbius Property
We continue studying the multivalued map**s of BAD (bounded angular distortion) class in Ptolemaic Möbius structures. We prove that the...
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Adherence of the Images of Points Under Multivalued Quasimöbius Map**s
We continue the study of multivalued map**s with the BAD (bounded angular distortion) property which was initiated in the author’s works in 2018....
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Topological Properties of Regular Boundary Domains in Riemannian Manifolds
Various topological properties of the smooth, Lipschitz, convex, quasiconvex, uniform and QED domains in Riemannian n -dimensional manifolds are...
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Topological map**s of finite area distortion
We study the interplay of map**s of finite area distortion (FAD) with finitely bi-Lipschitz map**s, ring and lower Q -homeomorphisms, and...
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Bounded Turning in Möbius Structures
We study a Möbius-invariant generalization, called BTR, of the classical property of bounded turning in a metric space which was introduced by Tukia...
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Uniform Domains in Real Banach Spaces
In this paper, we show that certain types of domains in real Banach spaces E with dimension at least two are uniform domains. Our examples incude...
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A note on generalized four-point inequality
In 2017, M. Bessenyei and Z. Páles [1] introduced a definition of a triangle function that generates a concept of a generalized triangle inequality...
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Deformations on Symbolic Cantor Sets and Ultrametric Spaces
By introducing new deformations on symbolic Cantor sets and ultrametric spaces, we prove that doubling ultrametric spaces admit bilipschitz embedding...
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A note on Väisälä’s problem concerning free quasiconformal map**s
In this paper, we provide partial solutions to a problem raised by Väisälä on local properties of free quasiconformal map**s. In particular, we...
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Quasiconformal extension of quasimöbius map**s of Jordan domains
We introduce the new class of Jordan arcs (curves) of bounded rotation which includes all arcs (curves) of bounded turning. We prove that if the...