Whitney umbrellas and swallowtails

Details Whitney umbrellas and swallowtails Whitney umbrellas and swallowtails

2011-12-21

arxiv.org/abs/1112.5011v1

Pacific J. Math. (2)252 (2011) 459-471

Mathematics

Geometric Topology

Scientific paper

In this paper, we introduce the notions of map-germs of pedal unfolding type
and normalized Legendrian map-germs; and then we show that the fundamental
theorem of calculus provides a natural one to one correspondence between
Whitney umbrellas of pedal unfolding type and normalized swallowtails.

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