Z-局部半连续格  

Z-locally semicontinuous lattices

作　　者：张则则 姜广浩[1] 

机构地区：[1]淮北师范大学数学科学学院,安徽淮北235000

出　　处：《天津师范大学学报（自然科学版）》2017年第2期17-21,共5页Journal of Tianjin Normal University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11361028);安徽省教育厅重点资助项目(KJ2017A378);安徽高等学校省级自然科学研究重点资助项目(KJ2013A236;KJ2016A648)

摘　　要：引入广义局部理想子集系统、Z-局部半连续格和强Z-局部连续格的概念,讨论了它们的基本性质,并给出了Z-局部半连续格的若干内部刻画.此外,探讨了Z-局部半连续映射与Z-局部半连续格上的函数空间,推广了相关文献的结论.The concepts of generalized locally ideal sub-systems, Z-locally semicontinuous lattices and strongly Z-locally continuous lattices are introduced and examined. Some intrinsic characterizations of Z-locally semicontinuous lattices are obtained. In addition, some properties of Z-locally semicontinuous mappings and the function space on Z-locally semicon- tinuous lattices are discussed, and the conclusions of related articles are expanded.

关 键 词：广义局部理想子集系统 Z-局部半连续格 强Z-局部连续格 Z-局部半Scott拓扑 Z-局部半连续映射 

分 类 号：O153[理学—数学] O189[理学—基础数学]