The compression body graph has infinite diameter
Joseph Maher, Saul Schleimer
TL;DR
This paper proves that the compression body graph, a mathematical structure in topology, has infinite diameter, indicating unbounded complexity in its geometric properties.
Contribution
It establishes the infinite diameter of the compression body graph, a new result in the study of topological and geometric properties of these graphs.
Findings
The compression body graph has infinite diameter.
This result impacts understanding of topological complexity.
Provides new insights into geometric group theory.
Abstract
We show that the compression body graph has infinite diameter.
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