Reverse image

Japanese: 逆像 - ぎゃくぞう
Reverse image

…In particular, f ( A ) is called the image of f . Also, for a subset B ' of B , the set of elements in A whose image by f falls within B ', { aA | f ( a )∈B ' }, is called the inverse image or preimage of B ' by f , and is denoted by f -1 ( B ').
[surjection, injection, bijection]
For a mapping f : AB , the image of f ( A ) is not necessarily equal to B.

*Some of the terminology explanations that mention "reverse image" are listed below.

Source | Heibonsha World Encyclopedia 2nd Edition | Information

Japanese:

…とくにf(A)はfの像と呼ばれる。また,Bの部分集合B′に対し,Aの元でfによる像がB′の中に入るもの全体{aAf(a)∈B′}を,fによるB′の原像,あるいは逆像といい,f-1(B′)で表す。
[全射,単射,全単射]
 写像fABにおいて,fの像f(A)がBと一致するとは限らない。…

※「逆像」について言及している用語解説の一部を掲載しています。

出典|株式会社平凡社世界大百科事典 第2版について | 情報

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