I was recently listening to a talk about JWST and other future astrophysics missions when the speaker talked about many of the size limitations associated with mirrors etc. I then thought perhaps one could solve this problem similar to how JWST approached their limitation, i.e., by "folding up" the mirror. However, weight is also an issue so then I started to wonder if there were any materials similar to a fabric (not necessarily a fabric) that could used for a mirror.
Let's assume there is or are materials that are fabric-like (i.e., can be folded without kinking/wrinkling) and reflective like glass or polished metal.
Could one stretch such a material accurately and precisely enough to form a useable mirror with competitive resolution and clarity (i.e., good enough for new research, not blurry results by today's standards)?