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Chapter 8 - Models of LSA as derived models

Published online by Cambridge University Press:  07 June 2024

Grigor Sargsyan  and
Nam Trang
Grigor Sargsyan
Affiliation:
Polish Academy of Sciences
Nam Trang
Affiliation:
University of North Texas
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Summary

In this chapter, we show that under AD^+, the derived model of certain hod pairs satisfies the LSA. We also prove results that are important elsewhere. In particular, we show the derived model of an active \omega.2 lsa Woodin mouse satisfies LSA. This result will be important in Chapter 12, where we obtain the consistency of LSA from PFA.

Keywords

LSAderived modelstrongly fullness preservingstrong branch condensationlsa typests hod pairWoodin lsa mouse
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Chapter
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The Largest Suslin Axiom , pp. 213 - 234
Publisher: Cambridge University Press
Print publication year: 2024

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