Contractbility of Outer space: reprise
Karen Vogtmann
TL;DR
This paper presents a simplified proof demonstrating that Outer space, a key concept in geometric group theory, is contractible, thereby clarifying its topological properties.
Contribution
It offers a newly streamlined proof of the contractibility of Outer space, improving upon previous more complex demonstrations.
Findings
Outer space is contractible
Simplified proof method introduced
Enhanced understanding of Outer space topology
Abstract
This note contains a newly streamlined version of the original proof that Outer space is contractible.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Noncommutative and Quantum Gravity Theories