遗传覆盖性质和选择理论  

Hereditary Covering Properties and Selection Theory

作　　者：燕鹏飞[1] 

机构地区：[1]五邑大学数学系.广东江门529020

出　　处：《数学年刊（A辑）》2014年第2期153-158,共6页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10971125);广东省教育厅科技创新基金(No.2012KJCX0101)的资助

摘　　要：通过引入局部下半连续集值映射的概念,建立了遗传覆盖性质与多种选择之间的一些重要联系,说明了选择构造本身与原象空间的分离性无关.In this paper, by introducing the concept of locally lower semicontinuous setvalued mappings, the author obtains some important relations between hereditary coyering properties and various kinds of selections. Moreover, it is shown that the construction of selections does not have relations with separation properties of preimage spaces.

关 键 词：遗传仿紧 遗传亚紧 遗传中紧 选择 

分 类 号：O189.11[理学—数学]