L-拓扑空间的新U_0公理

A New U_0 Axiom in L-Topological Spaces

在L-拓扑空间引入了一种新的U0公理,它被叫做次U0公理。次U0公理蕴涵次T0公理。次U0公理是一般拓扑中U0公理的好的扩张。另外,L-实直线和L-单位区间满足次U0公理。

In this paper, sub-U0 axiom is introduced in L-topological spaces. The sub-U0 axiom implies the sub-T0 axiom. The sub-U0 axiom is a good extension of the U0 axiom in general topology. Moreover, the L-real line and the L-unit interval satisfy the sub-U0 axiom.