Strongly compact cardinals and the continuum function

2019/01/16 by Apter, Arthur W., Dimopoulos, Stamatis, Usuba, Toshimichi
#FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1901.05313

Abstract

We study the general problem of the behaviour of the continuum function in the presence of non-supercompact strongly compact cardinals.

Related

• The least weakly compact cardinal can be unfoldable, weakly measurable and nearly θ-supercompact
• Exactly controlling the non-supercompact strongly compact cardinals
• Patterns of Compact Cardinals
• On supercompactness and the continuum function
• Generically supercompact cardinals by forcing with chain conditions