HOPF FIBRATION
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Full Fibration Overview
FIBER DESCRIPTION
The complete Hopf fibration: S3 decomposed into a continuous family of linked circles, one for each point of S2.
TOPOLOGY
The Hopf fibration is the generator of pi_3(S2) = Z, proving that S3 is not homotopy-equivalent to S2.
S³ → S² with fiber S¹ · π₃(S²) = ℤ · rotates daily