层Lowen函子及其应用  

Stratiform Lowen Functors and Their Applications

作　　者：方进明[1] 邱岳[1] 

机构地区：[1]中国海洋大学数学系,山东青岛266071

出　　处：《中国海洋大学学报（自然科学版）》2007年第3期395-398,共4页Periodical of Ocean University of China

基　　金：山东省自然科学基金项目(Q99A02)资助

摘　　要：引入联系Top和L-Top的函子ωr和lr,其中Top和L-Top分别表示经典拓扑空间与L-拓扑空间范畴,具有很好的性质,并且构成从Top到L-Top的伴随。层Lowen函子ωr和lr与经典Lowen函子有自然的联系,其若干应用也在文中给出。In this paper, we introduce a pair of functors ωr and lr between Top （the category of classical topo logical spaces） and L-Top （the category of L-topological spaces）. They have good properties and form an adjunction between Top and L,Top. Of course, there exists a natural relation between classical Lowen functors and stratiform Lowen functors introduced in this paper. Finally we present some applications of the stratiform Lowen functors Got and lr.

关 键 词：L-拓扑 Lowen函子 r-诱导拓扑 r-下半连续映射 层Lowen函子 

分 类 号：O189.13[理学—数学]