区间上诱导映射的半开与几乎开(英文)  

Semi-openness and almost-openness of induced mappings on interval

作　　者：曾凡平[1] 黄先玖[1] 王琦[1] 张更容[1] 

机构地区：[1]广西大学数学与信息科学学院,广西南宁530004

出　　处：《广西大学学报（自然科学版）》2004年第4期285-289,共5页Journal of Guangxi University（Natural Science Edition）

基　　金：ProjectsupportedbyNSFC(10361001,19961001,10226014)andsupportedpartlybyGuangxiScienceFoundation(0229001,0249002)

摘　　要：设f为区间X=[0,1]上的连续自映射,2f和C(f)分别为超空间2X和C(X)上的相应诱导映射.本文主要研究了f为开映射(半开,几乎开),2f为开映射(半开,几乎开)和C(f)为开映射(半开,几乎开)之间的关系.Give a self-map f of interval X=[0,1].Let 2~f and C(f) mean the induced maps between hyperspace 2~X and C(X).Relations are studied between the condition:f is open(semi-open,almolst-open,respectively),2~f is open(semi-open,almost-open,respectively)and C(f) is open(semi-open,almost-open,respectively).

关 键 词：连续统 超空间 诱导映射 半开 几乎开 

分 类 号：O189.11[理学—数学]