Where do black holes lead to?
It is unknown if the singularity of a black hole has an outlet, either in this universe or another. However, the curvature of spacetime caused by a black hole could indeed manifest as an “exit” somewhere outside normal space. (Black holes have been theorized to radiate Hawking radiation and “evaporate”, but stellar-scale holes would take a very long time to dissipate in this manner, even if they ceased collecting mass.