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Real Function Singularities and Their Bifurcation Sets

V. A. Vassiliev ()
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V. A. Vassiliev: Weizmann Institute of Science

Chapter Chapter 2 in Handbook of Geometry and Topology of Singularities VII, 2025, pp 71-119 from Springer

Abstract: Abstract Various bifurcation sets of generic families of real differentiable functions, their typical singularities and appearance in sciences are described. Particular attention is paid to the enumeration and topology of the connected components of the complements of bifurcation sets of function singularities.

Keywords: Discriminant; Caustic; Bifurcation; Deformation; Wave front; Maxwell set; Projective duality; Lagrange map (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-68711-2_2

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DOI: 10.1007/978-3-031-68711-2_2

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