> Legally yes, a woman has to cover her upper body while men do not.

In the U.S., female toplessness is illegal in only two states (Tennessee and Missouri). In the rest, legal status is either unclear or it's expressly legal.

So as a general statement, this is clearly untrue—it's not illegal everywhere.

Source: https://en.wikipedia.org/wiki/Topfreedom_in_the_United_State...