Cartesian closedness of categories of completely distributive lattices  

作　　者：ZHANG Dexue 1 and YANG Zhongqiang 2 1. Department of Mathematics, Sichuan University, Chengdu 610064, China 2. Department of Mathematics, Shaanxi Normal University, Xi’an 710062, China 

出　　处：《Chinese Science Bulletin》1998年第24期2059-2063,共5页

基　　金：theNationalNaturalScienceFoundationofChina (GrantNo .196 0 10 2 6 )andtheNationalEducationCommissionFoundationofChinaforOutstandingYoungScholars

摘　　要：The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category of completely distributive lattices with nonempty union preserving mappings is cartesian closed.The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category of completely distributive lattices with nonempty union preserving mappings is cartesian closed.

关 键 词：COMPLETELY DISTRIBUTIVE LATTICE continuous LATTICE CARTESIAN closedness. 

分 类 号：O153.1[理学—数学]