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中文摘要：
利用一般拓扑学中的嵌入映射和商映射的部分特征，在拓扑系统之间引入了单-满映射，满-单映射的概念，并构造了相应的实例（一个非连续的单-满映射和一个非连续的满-单映射）．通过讨论它们相应的性质说明了这些概念提出的合理性和必要性．
英文摘要：
Firstly, with the help of the characteristics of embedding mapping and quotient mapping in general topology, the concepts of the injective-subjective function, the subjective-injective function are introduced. Then subtle examples are constructed which is an injective-subjective noncontinuous function and a subjective-injective noncontinuous function. Finally their properties are discussed that show the reasonableness and necessity for proposing them.
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