For which final remnant does the core mass exceed the maximum stable mass limit for a neutron star?

Answer

A black hole

If the remnant core's mass is too great, exceeding the limits that neutron degeneracy can withstand (often cited as greater than 2 to 3 solar masses), the collapse continues indefinitely, forming a black hole.

For which final remnant does the core mass exceed the maximum stable mass limit for a neutron star?
astronomystarsupernovamasscollapse