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arxiv: 1305.1168 · v4 · pith:XQZA5GJMnew · submitted 2013-05-06 · 🧮 math.GT

Lips and swallow-tails of singularities of product maps

classification 🧮 math.GT
keywords singularitiesfunctionslipsmanifoldmovesproductswallow-tailsgeneric
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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.

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