Supercompact cardinals

While I was creating the publication entry for the recent submitted preprint joint with A. W. Apter and T. Usuba, I decided it is worth writing a separate blogpost explaining how our results extend an ongoing problem in set theory, the violation of GCH at large cardinals from optimal assumptions.

Time for the first ever blog post! And it is about one of my favourite topics, the preservation of large cardinals through forcing. The motivation behind this post, is a discussion I had with James Cummings in the “Set theory today” conference that took place in the KGRC in Vienna last week.