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Reconstructions of fronts and caustics depending on a parameter and versality of mappings

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Abstract

A survey of results is presented in the problem of describing up to diffeomorphism rearrangements of fronts and caustics in one-parameter families of general position in spaces of low dimension.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennye Problemy Matematiki, Vol. 22, pp. 56–93, 1983.

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Zakalyukin, V.M. Reconstructions of fronts and caustics depending on a parameter and versality of mappings. J Math Sci 27, 2713–2735 (1984). https://doi.org/10.1007/BF01084818

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