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From what I understand, stars that explode as a supernova at the end of their lives become either a black hole or a neutron star, and less massive stars that do not explode become white dwarves, but...

Do those two mass limits overlap exactly?

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This diagram from the Wikipedia article on supernovas mostly answers your question I think. supernova diagram There is in fact an interval that is expected to not produce a remnant, but it is not at the lower end of the mass range, interestingly. Instead it's a result of the particular mechanism that triggers the supernova for these heavy stars, which blows the core apart entirely.

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