Whitney伞上的高度函数
Height functions on Whitney umbrellas
摘要：
我们研究了惠特尼伞，这也被称为交叉帽的高度函数的家庭成员的奇异性，并表明，家庭的高度函数是一个cross-unfolding。此外，我们还研究了Whitney伞与超平面通过其奇点的局部交。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
