摘要
首先引入L-拓扑空间的内Lowen化的概念并且进一步研究L-拓扑空间的内、外Lowen化的性质,给出了嵌入函子i:LLTOP LTOP的左伴随和右伴随的构造,证明了II(L)(ω(δ))ω(IL(δ))以及EI(L)(ω(δ))=ω(EL()δ),其中I为内Lowen化函子,E为外Lowen化函子.此外,还给出了II(L)(ω(δ))≠ω(IL(δ))的具体例子.
The inner Lowenfication of L-topological spaces is introduced firstly, and then the propoties of inner Lowenfication and exterior Lowenfication of L-topological spaces are discussed. The structures of left adjoint and right adjoint of embedding functor i:LLTOP N LTOP are given, Ii(L)(ω(ω(δ))? ω(IL (δ) ) and Ei(L) (ω(δ)) = ω (EL(δ)) are proved,in which I is the interior weakly induced Lowenfication funtor and E is the exterior weakly indueed-fication funtor. Moreover, an example to show that Ii(L)(ω(δ))≠ω(IL(δ))is given.
出处
《纺织高校基础科学学报》
CAS
2009年第2期149-154,共6页
Basic Sciences Journal of Textile Universities