STML(C)范畴

THE CATEGORY OF STML(L)

本文讨论由Lsmooth拓扑分子格和(L1,L2)smooth连续的广义序同态所构成的STML(C)范畴的若干结果,利用集合套的方法给出了态射的若干性质,证明了范畴STML(C)是拓扑范畴.

In this paper, our aim is to discuss some results of the category STML（l） which consists of l-smooth topological molecular lattices and （l1 ,l2）-smooth continuous generalized order homomorphism. By the way of set-nested, we give some properties of the morphism in category STML（l ）. and prove that the category STML（l ） is a topological category.