# Definition:Image of Subset under Mapping/Also known as

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## Image of Subset under Mapping: Also known as

The term **image set** is often seen for the **image of a subset under a mapping**.

The modifier **by $f$** can also be used for **under $f$**.

Thus, for example, the **image set of $X$ by $f$** means the same as the **image of $X$ under $f$**.

## Sources

- 1959: E.M. Patterson:
*Topology*(2nd ed.) ... (previous) ... (next): Chapter $\text {II}$: Topological Spaces: $\S 9$. Functions - 1996: H. Jerome Keisler and Joel Robbin:
*Mathematical Logic and Computability*... (previous) ... (next): Appendix $\text{A}.3$: Functions