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Software
See: Bott periodicity
Investigation: Understand n-spheres and relate them to Bott periodicity and the divisions of everything.
Sphere eversion
- How does sphere eversion work?
- Is sphere eversion related to the three-cycle?
- Is sphere eversion related to Bott periodicity?
Bott periodicity relates to the homotopy groups of n-spheres.
Readings
- W: N-sphere
- W: Parallelizable manifold
- Agricola et al. On the history of the Hopf problem. Does {$S^6$} admit a complex structure?
- MSE: Bott periodicity and homotopy groups of spheres
- Bott, Hirzebruch. Bott periodicity and the parallelizability of the spheres.
- W: Exotic sphere
- W: H-space S0, S1, S3, S7 are the only spheres that are H-spaces.
- Video animation 22 seconds
- Outside In 21 minutes