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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.

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Real Function Singularities and Their Bifurcation Sets

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  • 发表日期：

    2025年

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  • V. A. Vassiliev

摘要

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.