The most important dimensions are the gate pitch and metal pitch. For TSMC's 7nm process they are something like 60 and 40 nm and go down in the future to something like 30 nm and 20 nm in the 2nm process. Fin width might be the closest thing to commercial name.
They are not even comparable across companies. For example, TSMC 7nm process technology has 91 MTr/mm², Intel's 10 nm prosess technology has 100 MTr/mm². Samsung 10nm has 52 MTr/mm². (MTr/mm² refers to millions of transistors per mm²).