On compact pseudoconcave sets

Slodkowski, Zbigniew

doi:10.1090/proc/16694

On compact pseudoconcave sets
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by Zbigniew Slodkowski

Proc. Amer. Math. Soc.

DOI: https://doi.org/10.1090/proc/16694

Published electronically: April 16, 2024

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Abstract:

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.

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