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Showing 1-6 of 6 results

  1. Superstrong and other large cardinals are never Laver indestructible

    Superstrong cardinals are never Laver indestructible. Similarly, almost huge cardinals, huge cardinals, superhuge cardinals, rank-into-rank...

    Joan Bagaria, Joel David Hamkins, ... Toshimichi Usuba in Archive for Mathematical Logic
    Article 23 December 2015

  3. The large cardinals between supercompact and almost-huge

    I analyze the hierarchy of large cardinals between a supercompact cardinal and an almost-huge cardinal. Many of these cardinals are defined by...

    Norman Lewis Perlmutter in Archive for Mathematical Logic
    Article 11 February 2015

  4. Iterated Forcing and Elementary Embeddings

    I give a survey of some forcing techniques which are useful in the study of large cardinals and elementary embeddings. The main theme is the problem...
    James Cummings in Handbook of Set Theory
    Chapter 2010

  5. On the indestructibility aspects of identity crisis

    We investigate the indestructibility properties of strongly compact cardinals in universes where strong compactness suffers from identity crisis. We...

    Grigor Sargsyan in Archive for Mathematical Logic
    Article 13 May 2009

  6. Gap forcing

    In this paper, I generalize the landmark Lévy-Solovay Theorem [LévSol67], which limits the kind of large cardinal embeddings that can exist in a...

    Joel David Hamkins in Israel Journal of Mathematics
    Article 01 December 2001
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