Brent Cody

The least weakly compact cardinal can be unfoldable, weakly measurable and nearly θ-supercompact

We prove from suitable large cardinal hypotheses that the least weakly compact cardinal can be unfoldable, weakly measurable and even nearly

The failure of GCH at a degree of supercompactness

{theta}

Easton's theorem in the presence of Woodin cardinals

θ-supercompact, for any desired

Some Results on Large Cardinals and the Continuum Function

{theta}

Characterizations of the weakly compact ideal on

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