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