Set Theory and Logic

    

Correct Setting of Mapping Function in One-to-One Correspondence

Authors: Hongyi Li

In order to strictly discuss the one-to-one correspondence between the elements of sets, the number of elements that can participate in the correspondence was first discussed, and then the necessary conditions for the formation of injection and bijection were discussed. According to these conditions, it wss found that some mapping functions do not satisfy these conditions. For example, it is impossible to obtain a mapping function satisfying these conditions between any infinite set and its any proper subset.

Comments: 3 Pages.

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[v1] 2022-09-06 00:27:35

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