The ending lamination space of the five-punctured sphere is the Noebeling curve

TL;DR

This paper proves that the ending lamination space of the five-punctured sphere is topologically equivalent to the Noebeling curve, establishing a new connection between geometric topology and known fractal structures.

Contribution

It demonstrates a homeomorphism between the ending lamination space of a specific surface and the Noebeling curve, a novel result in geometric topology.

Findings

Ending lamination space is homeomorphic to the Noebeling curve

Establishes a new topological equivalence in surface theory

Provides insights into the structure of lamination spaces

Abstract

We prove that the ending lamination space of the five-punctured sphere is homeomorphic to the Noebeling curve.