L-Lowen空间的诱导I(L)拓扑空间

Induced I(L)-topological spaces of L-Lowen spaces

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.