Assume that $f: X \rightarrow Y$ is a smooth map between two smooth manifolds.
Must there exist a smooth manifold $Z$, a submersion $g:X \rightarrow Z$, and an immersion $h:Z \rightarrow Y$ such that $f = h \circ g?$ Why or why not?
2026-04-30 01:10:56.1777511456
Assume that $f: X \rightarrow Y$ is a smooth map between two smooth manifolds.
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