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中文摘要：
将强连通拓扑空间和局部强连通拓扑空间这2个概念一般化.运用拓扑和范畴论方法研究了强连通预拓扑空间和局部强连通预拓扑空间的一系列性质,证明了局部强连通预拓扑空间和连续映射构成的范畴LSCPS是topological construct.这一推广是合理的.
英文摘要：
The notions of strong connected topological space and local strong connected topological space were generalized.Properties of such kinds of pre-topological spaces are investigated systematically by using topological and categorical methods.It is proved that LSCPS,the categoy of local strong connected pre-topological spaces and continuous mappings between them,is a topological construct.This kind of generalization is reasonable.
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