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On singular maps with local fibration. (English) Zbl 07831184


MSC:

14D06 Fibrations, degenerations in algebraic geometry
58K05 Critical points of functions and mappings on manifolds
57R45 Singularities of differentiable mappings in differential topology
14P10 Semialgebraic sets and related spaces
32S20 Global theory of complex singularities; cohomological properties
32S60 Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects)
58K15 Topological properties of mappings on manifolds
32C18 Topology of analytic spaces