Making use of the total variation of particular functions, we give an explicit formula for the pointwise supremum of the set of all copulas with a given curvilinear section. When the pointwise supremum is a copula is characterized. We also characterize the coincidence of the pointwise supremum and the greatest quasi-copula with the same curvilinear section.

翻译：利用特定函数的总变差，我们给出了具有给定曲线截面的所有Copula集合点态上确界的显式公式。文中刻画了点态上确界为Copula的条件，并进一步描述了该点态上确界与具有相同曲线截面的最大拟Copula重合的特征。