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广义映射与广义半同胚映射
引用本文:阿拉腾达尔.广义映射与广义半同胚映射[J].甘肃教育学院学报(自然科学版),2014(1):19-22.
作者姓名:阿拉腾达尔
作者单位:内蒙古民族幼儿师范高等专科学校,内蒙古鄂尔多斯017000
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.

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

Generalized Mapping and Generalized Semi-Homeomorphism Theorem
Institution:Altandari (Inner Mongolia Nationalities Kindergarden Teachers College, Erdos 017000, China)
Abstract: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.
Keywords:semi-open set  generalized irresolute mapping  generalized pre-semi-open mapping  general- ized pre-semi-closed mapping  generalized semi-homeomorphism mapping  
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