GO-空间乘积的子空间  

The Subspaces of Product of Two GO-spaces

作　　者：马利文[1] 王尚志[1] 

机构地区：[1]首都师范大学数学系,北京100037

出　　处：《数学的实践与认识》2003年第1期76-88,共13页Mathematics in Practice and Theory

基　　金：国家自然科学基金资助项目 (199710 4 8)

摘　　要：数学家 N.Kemoto,T.Nogura,K.D.Sm ith和 Y .Yajim a 1996年证明了两个序数乘积的子空间的正规性、集体正规性、收缩性是等价的 .本文把这个命题进行了推广 ,得到了两个 GO -空间乘积的任意子空间的正规性、集体正规性、收缩性是等价的 .In 1996, mathematicians N.Kemoto, T.Nogura, K.D.Smith and Y.Yajima proved that normality, collectionwise normality and shrinking are equivalent for all subspaces of product of two ordinals. Now we will generalize this result and prove that normality, collectionwise normality and shrinking are equivalent for all subspaces of product of two GO-spaces.

关 键 词：GO-空间 正规性 收缩性 正则不可数基数 拓扑 

分 类 号：O177[理学—数学]