摘要
本文给出了广义H-空间的完备性特征性质和紧性特征性质,同时也研究了这一空间的度量化定理.作为这些理论的应用.我们得到了Menger概率度量空间的完备性特征和紧性特征.给出了该空间的度量化函数的具体形式.
This paper brings forward the concept of generalized H-spaces which extends the concepts of H-spaces and almost probabilistic metric spaces. In this paper, the uniformity and properties for generalized H-space are considered. The conditions of metrization and the form of metric functions for generalized H-spaces, H-spaces and Menger PM-spaces are given and the characteristics of completeness and compactness for generalized H-spaces are presented. The results of this paper generalize and unify some recent results of [1-2, 8, 10],
出处
《应用数学和力学》
EI
CSCD
北大核心
1991年第11期1015-1022,共8页
Applied Mathematics and Mechanics
基金
徐州师院科学基金
关键词
一致空间
H-空间
PM空间
度量化
uniform spaces, H-Spaces, probabilistic metric spaces, metrization
