L-偏序集映射空间连续性的刻画  

Continuity of function spaces of L-posets

作　　者：刘敏[1] 

机构地区：[1]长安大学理学院,陕西西安710064

出　　处：《陕西师范大学学报（自然科学版）》2017年第5期1-5,共5页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金(11501048;11426044)

摘　　要：设L为完备剩余格,在L-偏序集中引入步函数的概念。基于一般的weight类,得到了L-偏序集映射空间连续性的一个刻画定理。基于以上结果,证明了两个完全代数的L-完备格之间的余连续映射之集是完全代数的。Let L be a complete residuated lattice. By introducing the concept of step function in L- posets, a characterization theorem for the continuity of function spaces of L-posets with respect to a general choice of a class of weights is proved. Based on this, it is obtained that for two totally algebraic complete L-posets the set of all cocontinuous functions between them is totally algebraic.

关 键 词：L-序 模糊Domain 映射空间 连续的L-偏序集 

分 类 号：O153.1[理学—数学]