In the "closed" Friedmann model, there is a Big Bang in the past and Big Collapse in the future. Big Bang singularity is something different than a Black Hole singularity. Now my question: is the Big Collapse singularity mathematically equivalent to a Black Hole (localized) singularity, or is it rather a non-localized singularity like a Big Bang one? Or maybe something else? My another question: in the "closed" collapsing Friedmann model the Universe becomes smaller at some point. From QM we know that we can not stuff infinite information in finite region. Would it mean that time would need to move, uhm, backwards near the end of the collapsing Universe? The information will need to disappear as different states would need to evolve into the same state, since there's no room to hold their information. My real question is: is the collapsing Friedmann model symmetric with regards to time reversal? Does the Big Collapse look just like the Big Bang played backwards?