GO-空间乘积的子空间

The Subspaces of Product of Two GO-spaces

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.