The Hopf fibration represents the 3-sphere $S^3$ as the circle $S^1$ fibred over the 2-sphere $S^2$. Does a similar construction exist for the hemisphere of $S^3$?
2026-03-25 12:41:38.1774442498
Is there an analogue of the hopf fibration for the hemisphere off $S^3$?
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The hemisphere is contractible so any fiber bundle over it would be trivial.