# A note to "Radial limits of quasiregular Local Homeomorphisms''

**Authors:** Chang-Yu Guo, Yi Xuan

arXiv: 2303.00292 · 2024-10-15

## TL;DR

This paper proves that quasiregular local homeomorphisms on uniform domains can be extended to boundary points along John curves, generalizing previous results by Rajala.

## Contribution

It extends the boundary extension property of quasiregular local homeomorphisms to uniform domains along John curves.

## Key findings

- Quasiregular local homeomorphisms can be extended to boundary points.
- Extension is possible along John curves.
- Generalizes Rajala's boundary extension result.

## Abstract

In this short note, we consider quasiregular local homeomorphisms on uniform domains. We prove that such mappings always can be extended to some boundary points along John curves, which extends the corresponding result of Rajala [Amer. J. Math. 2008].

## Full text

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## References

23 references — full list in the complete paper: https://tomesphere.com/paper/2303.00292/full.md

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Source: https://tomesphere.com/paper/2303.00292