Heat-setting stabilises dimensions and stretch: fabric with elastane usually passes on the stenter at about 170–195°C for a few tens of seconds, so width and GSM stay constant and the edges do not curl. If setting is too weak, the fabric keeps shrinking in washing; if too strong, the elastane loses power or the fabric yellows. Temperature and time depend on the fibre and the type of elastane. Ask for the finished width and the stretch recovery, not just the elastane percentage in the composition.
Why is knitted fabric with elastane heat-set on a stenter?

elastaneheat-settingstenter
Fibres & yarnsWhy does polyester pill, and why don't the pills fall off?
Polyester fibres are very strong, so when a fibre end pokes out and tangles into a ball, it does not break easily and the pill stays attached to the fabric.
Fibres & yarnsHow do I convert between Ne, Nm, tex and denier?
Ne refers to cotton, Nm is the metric count (metres per gram), tex is the mass in grams per 1000 m, and denier is the mass in grams per 9000 m.
Fibres & yarnsWhat is textured polyester (DTY) compared with spun polyester yarn?
Textured polyester (DTY) is a continuous filament yarn that has been crimped for bulk and stretch.