Woodin for strong compactness cardinals

Stamatis Dimopoulos

doi:10.1017/jsl.2018.67

Woodin for strong compactness cardinals

Stamatis Dimopoulos^*

^*Corresponding author for this work

School of Mathematics

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Abstract

Woodin and Vopěnka cardinals are established notions in the large cardinal hierarchy and it is known that Vopěnka cardinals are the Woodin analogue for supercompactness. Here we give the definition of Woodin for strong compactness cardinals, the Woodinised version of strong compactness, and we prove an analogue of Magidor's identity crisis theorem for the first strongly compact cardinal.

Original language	English
Pages (from-to)	301-319
Number of pages	19
Journal	Journal of Symbolic Logic
Volume	84
Issue number	1
DOIs	https://doi.org/10.1017/jsl.2018.67
Publication status	Published - 1 Mar 2019

Keywords

forcing
large cardinals
strongly compact cardinals
Vopěnka cardinals
Woodin cardinals

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KW - strongly compact cardinals

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Woodin for strong compactness cardinals

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