Before revision:  Here we use simulations to address this longstanding problem and find that topological constraints create a new equilibrium state of a globular polymer. In this state, which resembles the conjectured fractal (crumpled ) globule  , subchains of a polymer form largely unknotted and asymptotically  compact crumples.
After revision:  Here we use simulations to address this longstanding problem . We find that sufficiently long unknotted polymers differ from knotted ones in the spatial and topological states of their subchains. The unknotted globule has subchains that are mostly unknotted and form asymptotically compact R_G(s) \sim s^{1/3 , subchains of a polymer form largely unknotted and asymptotically compact crumples.