All cats shed. All of them. Even the “hairless” variety, which has a barely-there downy fuzz. Shedding is part of a healthy coat in any cat. The hair grows to a certain length, dies, then falls out. Long haired cats shed longer hairs, which makes it seem like a LOT more hair, short-haired cats shed shorter hair, which makes it seem less. If you have a cat, you will have to deal with shed. Period.
However, that doesn’t mean you are completely unable to control the amount of hair you have to deal with. There are several approaches and methods for dealing with cat hair in the home, and the most important one starts within.