Suppose $f: U\to V$ is a $C^1$ surjection from a $k$ dimensional manifold $U$ onto a $k$ dimensional simply connected manifold $V$ with everywhere nonzero Jacobian or nonsingular differential. Is $f$ diffeomorphic?
2026-03-25 05:58:54.1774418334
Nonzero Jacobian implies diffeomorphism?
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