Whitney umbrellas and swallowtails (Q657352)

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Whitney umbrellas and swallowtails
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    Whitney umbrellas and swallowtails (English)
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    16 January 2012
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    Map germs of pedal unfolding type and the notion of normalized Legendrian map germs are introduced. It is shown 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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    Whitney umbrella
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    pedal unfolding type
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    normalized swallowtail
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    swallowtail
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