I was under the impression that physicists still don't know what the fate of the universe is. It could expand into cold oblivion or contract back into a hot sin

I was under the impression that physicists still don't know what the fate of the universe is. It could expand into cold oblivion or contract back into a hot singularity or balance out in stasis. Doesn't it depend on the topology of the universe? Isn't that still 'up in the air'? (punny)