Harvard recently took action against single sex organizations -- there have long been complaints about social organizations for men only. So Harvard put major restrictions on members of these organizations. But Harvard set the rule for members of any single sex organization, not just those for men only. The reaction was quick -- women protesting against the action, claiming they need their women only organizations and that they need their "safe spaces": Harvard women protest school's crackdown on single-sex groups.
This reaction does show the reality of portions (not all) of the feminist / women's rights movement. There is a desire to break down men only institutions, claiming that they discriminate against women. But women only institutions appear to be perfectly fine. This occurs in other parts of society. Gyms and fitness centers for men only are no longer acceptable, but "Curves Women's Gym" seems to be perfectly acceptable.
Another example where "equal rights" really means "special privileges".