有限覆盖定理的另类证法一二  

Equivalence of Finite Covering Theorem and Finite Intersection Theorem

作　　者：胡绍宗[1] 

机构地区：[1]阜阳师范学院数学系,安徽阜阳236041

出　　处：《高等数学研究》2018年第1期47-49,共3页Studies in College Mathematics

摘　　要：在n维欧氏空间Rn中,分别利用有限相交定理和确界原理证明有限覆盖定理,进而推得有限覆盖定理等价于有限相交定理.In the Euclidean space Rn, we prove the finite covering theorem by using the finite intersection theorem and supremum axiom,and obtain the equivalence of the finite covering theorem and the finite intersection theorem.

关 键 词：有限覆盖 有限相交 可数集 

分 类 号：O175[理学—数学]