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Homotopy theory, homological algebra, algebraic treatments of manifolds.
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How can I prove that Hopf fibrations are the only ones with fiber, total space and base spac...
http://en.wikipedia.org/wiki/Adams%27_theorem
Adams, J.F. (1960), "On the non-existence of elements of Hopf invariant one", Ann. Math. (The Annals of Mathematics, Vol. 72, No. 1) 72 (1): 20–104.
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