摘要
日本数学家NobuyukiKemoto在 1996年论证了两个序数的乘积是遗传可数亚紧空间 .本文是在这个性质的基础上进行了进一步的研究 ,定义了点可缩性质 ,并得到了两个序数的乘积空间是有小于λ ={cfμ ,cfν}点可缩性质的空间 .这是对Kemoto结果的更进一步的推广 .
Japanese mathematician Nobuyuki Kemoto proved that the product of two ordinals is hereditarily countably metacompact in 1996.This is an important breakthrough in study of property about product of two ordinal.In this paper,we improved Kemoto's results,defined point-shrinking property and obtained a more generalized results,That is,the product of two ordinal has point-shrinking property.
出处
《首都师范大学学报（自然科学版）》
2002年第1期10-13,17,共5页
Journal of Capital Normal University：Natural Science Edition
基金
国家自然科学基金资助课题 ( 199710 48)
