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ju you - ji hu ju bu you xian ji de kong jian
Author(s): 
Pages: 25-30
Year: Issue:  2
Journal: Journal of Suzhou University Natural Science

Keyword:  局部有限象空间度量空间连续闭映射积空间蕴含关系定义证明邻域定理;
Abstract: <正> 一、引言1961年,J.Ceder[1]定义了 Mi(i=1,2,3)空间,作为度量空间的自然推广,1966年,C.R.Borges[2]把 M3-空间再命名为层积空间(stratifiable spaces),并进一步研究了它的性质。从定义易知,M1(?)M2(?)M3,但 Ceder 不知道相反的蕴含关系是否成立.十几年后,G.Gruenhage[3]与 H.Junnila[4]先后独立地证明了“M3(?)M2”,但是,下列问题至今尚未解决:
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