Abstract
The paper contains a survey of results in the theory of projections: a classification of simple projections of surfaces onto manifolds of low dimension is presented, assertions are formulated regarding the homotopy type of complements to bifurcation diagrams of projections onto a line as are theorems on rectification of vector fields in bundles in a neighborhood of manifolds with singularities, and the connection of the theory of projections with other areas of the theory of singularities (critical points of functions on a smooth manifold and on a manifold with boundary) is considered.
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Vol. 22, pp. 167–206, 1983.
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Goryunov, V.V. Singularities of projections of full intersections. J Math Sci 27, 2785–2811 (1984). https://doi.org/10.1007/BF01084821
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DOI: https://doi.org/10.1007/BF01084821