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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.

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Devlin's "Constructibility" as a resource

It is fairly well-known among set-theorists that Keith Devlin's 1984 book "Constructibility" has flaws in its initial development of fine structure theory. (See Lee Stanley's review 1 of the text for …
Todd Eisworth's user avatar