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The core that remains will be a white dwarf, a husk of a star that has not undergone hydrogen fusion, explained further.
What is the composition of a white dwarf?
The core that remains will be a white dwarf, a husk of a star that has not undergone hydrogen fusion. Red dwarf stars, for example, do not reach the red giant stage. They just burn through all of their hydrogens, becoming into a faint white dwarf in the process.
When the Sun's nuclear fuel runs out, it turns into a white dwarf. This type of star expels most of its outer material near the conclusion of its nuclear burning cycle, forming a planetary nebula. Only the star's hot core remains.
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