Hey, these do wrinkle....AND THAT MEANS THAT THEY ARE COTTON.  Just put them one the bed and smoothe them out.  the heat of your body will take care of them.  Great elastic all the way around the bottom sheet that fits a 15" mattress very well.  They are cool and breathable...and if you do not know what that means, it means that there will be no static electric sparks in the night.  Nothing like having microfiber sheets making your bed look like there are a million lightening bugs in it and all the crackle sounds every time you move!  I just love these sheets.  Heavy enough, will last.  They have a light sheen to them.  These are old fashion sheets that you wear down over years.  Buying more...Oh yeah, they dry pretty fast