Geodesic
Lips and swallow-tails of singularities of product maps
Journal of Singularities, Tome 10 (2014), pp. 286-295

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Lips and swallow-tails are generic local moves of singularities of a smooth map to a 2-manifold. We prove that these moves of singularities of the product map of two functions on a 3-manifold can be realized by isotopies of the functions.
DOI : 10.5427/jsing.2014.10t
Classification : 57R45 
@article{10_5427_jsing_2014_10t,
     author = {Kazuto Takao},
     title = {Lips and swallow-tails of singularities of product maps},
     journal = {Journal of Singularities},
     pages = {286--295},
     publisher = {mathdoc},
     volume = {10},
     year = {2014},
     doi = {10.5427/jsing.2014.10t},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.10t/}
}
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Kazuto Takao. Lips and swallow-tails of singularities of product maps. Journal of Singularities, Tome 10 (2014), pp. 286-295. doi: 10.5427/jsing.2014.10t

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