Pique is a a knit weave. "Cotton knit" is not a weave but a content and fabric. By cotton knit i assume you are asking about the fabric of the regular t-shirts, that wave is know as Jersey (Single Jersey in technical terms)
A plain t-shirt is usually made from a knit cotton or poly/cotton fabric.
to use needle and cotton means to knit
The difference is in your vocabulary. Cotton exists in many forms, from the raw botanical lint inside the boll to fine cotton thread or yarn. Cotton knit is simply one form of cotton that has been processed by knitting.
knit?
A cotton is soft and a cotton jersey is soft Jersey. Cotton is a woven fabric. It is not stretchy. Cotton jersey is a knit. It is stretchy like t-shirt material.
Slub
T-shirt fabric is usually jersey knit. Made from cotton or poly/cotton and has a slight stretch.
Treat yourself with the Luxury Modal Cotton Jersey Knit Sheet Set. These soft, silky sheets are made of the same cotton blend jersey knit fabric that's used in designer t-shirts. They get even softer with every wash.
A slub is an imperfection in yarn, seen as a thickened portion of the cord. In an uniforn length of yarn, the slub stands out from the rest of the yarn. This gives fabrics woven with slubs some roughness to their texture.
1.centering [not tupe]2 .compact 3. bit wash 4.cut &sew
slub