SOME PROBLEMS ON THE LATTICE-VALUED LOWER SEMICONTINUOUS FUNCTIONS  

作　　者：李永明 

机构地区：[1]Department of Mathematics, Shannxi Normal University Xi'an 710062, PRC

出　　处：《Chinese Science Bulletin》1992年第14期1228-1229,共2页

摘　　要：Recently, the following two problems have been posed in [1]:(ⅰ) When is ω_L (J) an algebraic lattice?(ⅱ) When is ω_L (J) a completely distributive lattice? where ω_L (J)denotes the family of all continuous functions from the topological space (X, J) to the completely distributive lattice L with upper topology (i. e. L has topological subbases of the form { L - ↓x: x∈L}).

关 键 词：TOPOLOGICAL ALGEBRAIC TOPOLOGY posed mentioned 

分 类 号：N[自然科学总论]