Let $f \colon M \to N$ be a smooth map between two manifolds. Let $q_0 \in N$ be a regular value of $f$. Is there a relation between the homotopy fiber of $f$ and the submanifold $f^{-1}(q_0)$?
2026-03-29 19:17:39.1774811859
Homotopy fibers and preimages of regular values.
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