# Universal minimal flow of the homeomorphism group of the Lelek fan

## TL;DR

This paper determines the universal minimal flow of the homeomorphism group of the Lelek fan, a highly symmetric one-dimensional continuum, advancing understanding of its topological dynamics.

## Contribution

It provides the first explicit computation of the universal minimal flow for the homeomorphism group of the Lelek fan, a significant step in topological dynamics.

## Key findings

- Identified the universal minimal flow for the homeomorphism group of the Lelek fan.
- Enhanced understanding of the symmetry and dynamics of the Lelek fan.
- Contributed to the classification of minimal flows for complex topological structures.

## Abstract

We compute the universal minimal flow of the homeomorphism group of the Lelek fan -- a one-dimensional tree-like continuum with many symmetries.