What do you mean? In my experience outside of the few major cities (New York, LA, etc.) there are only high rises in the very downtown of large cities.
I guess I tend to think of "high-rise" as a synonym for skyscraper. Something in the neighborhood of 10+ stories. I'm fairly certain that Columbus at least doesn't have many residential buildings that high outside of its downtown.
However, if we are counting 3 or so story apartments then there are definitely high-rises all over the place like you say.
