For certain smoothly foliated regions, explicit submanifolds are built whose first-coordinate projection has no critical points, and the critical set of the induced derivative is computed in an explicit two-dimensional family.
Gelbukh, A finite graph is homeomorphic to the Reeb graph of a Morse-Bot t function, Mathematica Slovaca, 71 (3)
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Regions represented as foliated forms and natural smooth maps onto them
For certain smoothly foliated regions, explicit submanifolds are built whose first-coordinate projection has no critical points, and the critical set of the induced derivative is computed in an explicit two-dimensional family.