摘要
在一般拓扑空间中引入了广义不定映射、广义准半开映射、广义准半闭映射和广义半同胚映射的概念,给出了这些映射的基本性质及它们之间的关系,并建立了广义半同胚定理.
The concepts of generalized irresolute mapping, generalized pre-semi-open mapping, generalized pre-semi-closed mapping and generalized semi-homeomorphism mapping are introduced in general topological spaces. The basic properties of them and relations between them are given. The semi-ho- meomorphism theorem is established.
出处
《兰州文理学院学报(自然科学版)》
2014年第1期19-22,共4页
Journal of Lanzhou University of Arts and Science(Natural Sciences)
关键词
半开集
广义不定映射
广义准半开映射
广义准半闭映射
广义半同胚映射
semi-open set
generalized irresolute mapping
generalized pre-semi-open mapping
general- ized pre-semi-closed mapping
generalized semi-homeomorphism mapping.