On the existence of exotic homotopy 3-spheres
Jorma Jormakka
TL;DR
This paper presents a straightforward argument demonstrating that exotic homotopy 3-spheres do not exist, simplifying previous complex proofs.
Contribution
It provides an elementary proof for the nonexistence of exotic homotopy 3-spheres, offering a simpler approach compared to prior methods.
Findings
Exotic homotopy 3-spheres do not exist
Elementary proof established
Simplifies understanding of 3-sphere topology
Abstract
An elementary argument to show nonexistence.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Topological and Geometric Data Analysis · Advanced Topology and Set Theory