Year: 2024
Type: article
Abstract: We show that every Jordan quadrilateral \(Q\subset\mathbb{C}\) contains a disk \(D\) so that \(\partial D\cap\partial Q\) contains points of three different sides of \(Q\). As a consequence, together with some modulus estimates from Lehto and Virtanen, we offer a short proof of the main result obtained by Chrontsios-Garitsis and Hinkkanen in 2024 and it also improves the bounds on their result.
Source: Annales Fennici Mathematici
DOI: 10.54330/afm.154981
Author: Alex Rodriguez
Institution: Stony Brook University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
Funder: National Science Foundation
OpenAlex ID: W4405536078