可分赋范线性空间中开集、闭集的构造

摘要

在一维实空间中开集、闭集构造的基础上,给出了一般可分赋范线性空间中开集、闭集的构造,并进行了证明.%Based on the theorem of the composition of open set and closed set in R space, this paper presents the composition of the open set and closed set in separable normed linear space, and proves the composition.