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arXiv · 2304.03993

Topological Characteristics of Harmonic Quasiconformal Unit Disk Automorphisms in the Uniform Topology

Florian Biersack
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Abstract

We study the class $HQ(\mathbb{D})$, the set of harmonic quasiconformal automorphisms of the unit disk $\mathbb{D}$ in the complex plane, endowed with the topology of uniform convergence. Several important topological properties of this space of mappings are investigated, such as separability, compactness, path--connectedness and completeness.

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Florian Biersack. 2023-04-08. Topological Characteristics of Harmonic Quasiconformal Unit Disk Automorphisms in the Uniform Topology. https://arxiv.org/abs/2304.03993

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