分析学中几个定理证明的严密性

Compactness of proving Some Theorems in the Ana-lysis Theory

Zermelo选择公理的提出对近代数学的发展和逻辑的严密性起了很大的推动作用,而且它几乎渗透到每一个数学分支。分析学中一些定理及命题的证明都要以它为依据,例如,它使得下面几个定理的证明成为可能。

:Zermolo Selection Axiom Pushes forward the progress of modern mathematics and compactness of logic afrer its being put forward.Then it almost permeates every mathematical braneh and it in the basis for proving some theorems and preopsitions in the Analysis Theory