ConverseUnisex Chuck Taylor All Star Canvas Hi-Top Trainers

is this men's sizes?

are these fakes?

Are these half a size bigger than normal? Some of them on Converse's website statea this on certain shoes.

The size of my conv. is - mens 5.5, wo's 7.5, uk 5.5, eur 38, cm 24.5.. it doesn't match with the size inf. here. what size should i take? (woman)