Hopf Invariant One
- Cool fact: you can show the non-existence of [Hopf invariant one\] elements in dimensions \(1,2,4,8\) using K-Theory.
- The argument is pretty clean, and the paper is only 8 pages:
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See Mosh-Tang for the original proof using cohomology operations : https://www.maths.ed.ac.uk/~v1ranick/papers/moshtang.pdf.
- This also apparently includes computations of cohomology of Eilenberg-MacLane spaces.