The fractal globule, a self-similar compact polymer conformation where the chain 
is spatially segregated on all length scales, has been proposed to result from a 
sudden polymer collapse. This state has gained renewed interest as one of the 
prime candidates for the non-entangled states of DNA molecules inside cell 
nuclei. Here, we present Monte Carlo simulations of collapsing polymers. We find 
through studying polymers of lengths between 500 and 8000 that a chain collapses 
into a globule, which is neither fractal, nor as entangled as an equilibrium 
globule. To demonstrate that the non-fractalness of the conformation is not just 
the result of the collapse dynamics, we study in addition the dynamics of 
polymers that start from fractal globule configurations. Also in this case the 
chain moves quickly to the weakly entangled globule where the polymer is well 
mixed. After a much longer time the chain entangles reach its equilibrium 
conformation, the molten globule. We find that the fractal globule is a highly 
unstable conformation that only exists in the presence of extra constraints such 
as cross-links.