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The study of canonical inner models for large cardinal hypotheses, with particular attention to their fine structure theory, and iterability issues.

5 votes
2 answers
631 views

Characterizing elementary embeddings of $L$ and $L_\alpha$ under 0#

Suppose 0# exists. It is clear that every order preserving map from the indiscernibles to the indiscernibles gives an elementary embedding from $L$ to $L$. Furthermore, following lemmas 18.7 and 18.8 …
11 votes
1 answer
468 views

Do indiscernibility embeddings exist for an initial segment of an inner model of many measur...

Background I am interested in elementary embeddings from a model of set theory into itself. One way of producing such elementary embeddings is when the model is generated by indiscernibles; this idea …