ABOUT METRICAL AND TOPOLOGICAL PROPERTIES OF ONE FLAT SET
Journal Title: ΛΌГOΣ. МИСТЕЦТВО НАУКОВОЇ ДУМКИ - Year 2019, Vol 1, Issue 5
Abstract
For the limiting set of the Klein group of automorphisms of the extended complex plane defined by inversions relative to the boundary components of an arbitrary circular region, metric and topological properties have been researched. In particular, it is shown that the set is nowhere dense and has a flat measure 0. The conformal and quasiconformal disposability of the set is proved.
Authors and Affiliations
Сергей Десятский
Keywords
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