They do not bind on the top.  I bought them for myself and the only problem I have is the heel of the sock will move around and I need to fix it several times a day - but the trade off of non-binding is worth it.  They are a little big for women and I would only recommend them if you have big feet.  Not sure if they come in women's sizes.  I have tried to shrink them in the dryer and that does help a bit.