Lips and swallow-tails of singularities of product maps
arXiv:1305.1168 · doi:10.5427/jsing.2014.10t
Abstract
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.
11 pages, 2 figures, v4: a missed case in Figure 2 has been added, and some minor corrections