Whitney umbrellas and swallowtails
classification
🧮 math.GT
math.DG
keywords
map-germsnormalizedpedalswallowtailstypeumbrellasunfoldingwhitney
read the original abstract
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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