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arXiv · 1205.3044

Height functions on Whitney umbrellas

Toshizumi Fukui·Masaru Hasegawa
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Abstract

We study the singularities of the members of the family of height functions on Whitney umbrellas, which is also known as cross-caps, and show that the family of the height functions is a versal unfolding. Moreover, we study local intersections of a Whitney umbrella with a hyperplane through its singular point.

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Toshizumi Fukui, Masaru Hasegawa. 2012-05-14. Height functions on Whitney umbrellas. https://arxiv.org/abs/1205.3044

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