Cohomology

This paper gets the discrete version of the continuous horizontal complex via the finite element method, the finite element form of the vertical complex by virtue of the cochain, the vertical functional complex produced by the equivalence relation of the vertical forms through a coboundary operator.

本文用有限元方法给出连续水平复形的离散形式，用上链定义了垂直复形的有限元形式，用上边缘算子构造出垂直形式的等价类，得到垂直泛函复形。

The theory of flat chain and flat cochain,founded by H.

文章从Koch曲线上的Lipschitz微分形式的积分问题出发 ,探讨由Wolf奖获得者Whitney开创的欧氏空间上的抽象积分理论———平坦链与平坦上

By using the cocycle property of nonautonomous set valued maps, the existence and uniquness of cocycle attractors for nonautonomous set value maps is proved under some conditions.

本文研究了非自治集值映射的渐近性态,利用非自治集值映射的上链性质,得到了在一定条件下非自治集值映射的上链吸引子的存在唯一性。