@article{ab356f4821e34158845c1c6717b18a9a,
title = "The least weakly compact cardinal can be unfoldable, weakly measurable and nearly θ-supercompact",
abstract = "We prove from suitable large cardinal hypotheses that the least weakly compact cardinal can be unfoldable, weakly measurable and even nearly θ-supercompact, for any desired θ. In addition, we prove several global results showing how the entire class of weakly compactcardinals, a proper class, can be made to coincide with the class of unfoldable cardinals, with the class of weakly measurable cardinals or with the class of nearly θκ-supercompact cardinals κ, for nearly any desired function κ↦θκ. These results answer several questions that had been open in the literature and extend to these large cardinals the identity-crises phenomenon, first identified by Magidor with the strongly compact cardinals.",
keywords = "Identity crisis, Nearly supercompact, Unfoldable, Weakly compact, Weakly measurable",
author = "Brent Cody and Moti Gitik and Hamkins, {Joel David} and Schanker, {Jason A.}",
note = "Publisher Copyright: {\textcopyright} 2015, Springer-Verlag Berlin Heidelberg.",
year = "2015",
month = aug,
day = "27",
doi = "10.1007/s00153-015-0423-1",
language = "אנגלית",
volume = "54",
pages = "491--510",
journal = "Archive for Mathematical Logic",
issn = "0933-5846",
publisher = "Springer New York",
number = "5-6",
}