That only saves a few characters. And "map" is already a data type in C++. How are you going to explain to a student that ambiguity, that you can "map a vector, but oh yeah map is also this container type" ?

Conceptually, I hate the word "map" to describe a transform. What does a real-world, paper map do? It associates locations drawn on the paper with real-world, physical places. That doesn't have any commonality whatsoever to morphing a group of objects. The term is misused.