定义L-预拓扑空间中的强连通L-子集以及L-预拓扑空闻的局部强连通性,证明了它们和拓扑空间中的连通子集以及局部连通性拓扑空间有类似的性质,证明了局部强连通L-预拓扑空间和连续映射构成的范畴L—LSCPS是topological construct。
The notions strongly connected L-subset in L-pre-topological spaces and locally strongly connected L-pre-topological space are defined in this paper, of which the related properties are proved to be similar to those of connected subset in topological spaces and locally connected topological space. It is showed that the category L-LSCPS of locally strongly connected L-pre-topological spaces and continuous mappings is a topological construct.