Elimination of \(B_2\) singularities. I. (English) Zbl 07897468
Summary: For a \(C^\infty\) stable map \(f:M\rightarrow Q\) of a compact 3-manifold with boundary into a surface without boundary, we show that \(f\) is homotopic to a stable map which has no \(B_2\) points if the Euler characteristic of each connected component of the boundary of \(M\) is even.
MSC:
| 57R45 | Singularities of differentiable mappings in differential topology |
| 57R35 | Differentiable mappings in differential topology |
| 58K15 | Topological properties of mappings on manifolds |
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