LD-Algebras Beyond I0

Notre Dame Journal of Formal Logic 60 (3):395-405 (2019)
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Abstract

The algebra of embeddings at the I3 level has been deeply analyzed, but nothing is known algebra-wise for embeddings above I3. In this article, we introduce an operation for embeddings at the level of I0 and above, and prove that they generate an LD-algebra that can be quite different from the one implied by I3.

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10.1215/00294527-2019-0009

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References found in this work

Elementary embeddings and infinitary combinatorics.Kenneth Kunen - 1971 - Journal of Symbolic Logic 36 (3):407-413.
Suitable extender models II: Beyond ω-huge.W. Hugh Woodin - 2011 - Journal of Mathematical Logic 11 (2):115-436.
Inverse limit reflection and the structure of L.Scott S. Cramer - 2015 - Journal of Mathematical Logic 15 (1):1550001.
The well-foundedness of the Mitchell order.J. R. Steel - 1993 - Journal of Symbolic Logic 58 (3):931-940.
A partially non-proper ordinal beyond L.Vincenzo Dimonte - 2012 - Annals of Pure and Applied Logic 163 (9):1309-1321.

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