Is there a mass relation of the core left behind after ejection in a red giant?

Question

Assuming that you have the mass of the star prior to the ejection of non-core material, is there any relation that can be used to approximate the mass of the resulting left behind core which will later go on to become a white dwarf, neutron star, or other similar core object?

EDIT: I did attempt to find such a relation on my own, but only found unrelated relations or simply that the core exists. I was unable to locate on my own any relation between mass and core mass.

Answer 1

Depends on the supernova type and their mass. Typically, if the original star has about 8 solar masses or less they just become white dwarfs. If greater it's more complex and spends on type/makeup.

The Wikipedia article at https://en.wikipedia.org/wiki/Supernova#Core_collapse Has a nice treatment and a table of likely remnants for different types and masses.