On compact pseudoconcave sets
Zbigniew Słodkowski · Proceedings of the American Mathematical Society · 2023
Replying to three questions posed by N. Shcherbina, we show that a compact pseudoconcave set can have the core smaller than itself, that the core of a compact set must be pseudoconcave, and that it can be decomposed into compact pseudoconcave sets on which all smooth plurisubharmonic functions are constant.