给出了L-拓扑空间六种局部仿紧性的概念,讨论了它们之间的蕴涵关系.证明了前四种局部仿紧性既是闭可遗传又是开可遗传的,后两种局部仿紧性是闭可遗传的,这些局部仿紧性在某种序同态下保持不变.
Six kinds of local paracompactnesses of a L-topological space are introduced, and implication relations among them are studied. It is proved that the first four kinds of the local paracompactnesses are inherited by closed subspaces and open subspaces, and the last two kinds of the local paracompactnesses are inherited by closed subspaces. It is proved that these local paracompactnesses are invariable under some order homomorphism.