定义拓扑的一种方法及其应用  

A Method to Define a Topology on a Set and Its Applications

作　　者：黄重器[1] 

机构地区：[1]龙岩学院数学与计算机科学学院,福建龙岩364012

出　　处：《龙岩学院学报》2008年第6期3-5,12,共4页Journal of Longyan University

摘　　要：给出定义拓扑的一种方法,把常见的定理对族βx(坌x∈X)的要求放宽,从而拓广了应用范围,并且证明了关于向量拓扑空间的几个定理。A theorems are relaxed method of defining topology is given. The requirements on family λ by commonly used and as a result the applications are extended. This theorem is used to prove some theorems on vector topological space.

关 键 词：准局部基 局部基 邻域(基本邻域) 可加 平衡 吸收 凸局部基 局部凸拓扑 

分 类 号：O15[理学—数学]