I don't think that there is any agreed upon definition for "core java", so it's likely that different people will expect quite different things. The easiest thing to do would be to not claim such a thing without being more specific about what you mean by it.
Why do you ask?
The soul is dyed the color of its thoughts. Think only on those things that are in line with your principles and can bear the light of day. The content of your character is your choice. Day by day, what you do is who you become. Your integrity is your destiny - it is the light that guides your way. - Heraclitus