关于映射的两个导出映射

On the Two Induced Mappings of Mapping

设f:A→B是映射,C∈2A,令f1(C)=f(C),D∈2B,令f2(D)=f-1(D),则称f1,f2是f的导出映射.研究了单射、满射、双射(及其逆)、映射的积的导出映射,并得到了相应的结果.

Setf：A→B is mapping, axbitary C∈2^A, letf1（C） =f（C）, axbitary C∈2^B, letf2（D） =f^-1（D） ,f1 andf2are called induced mapping off. In this article, the induced mappings of injection, surjecfion, bijecfion （and its inverse mapping） , composition of mappings are researched, and the corresponding results are obtained.