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COMBINING RESURRECTION AND MAXIMALITY

Part of: Set theory

Published online by Cambridge University Press:  02 February 2021

KAETHE MINDEN
KAETHE MINDEN*
Affiliation:
BARD COLLEGE AT SIMON’S ROCK DIVISION OF SCIENCE, MATHEMATICS, AND COMPUTING 84 ALFORD ROAD, GREAT BARRINGTON, MA01230, USAE-mail: [email protected]: https://kaetheminden.wordpress.com
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Abstract

It is shown that the resurrection axiom and the maximality principle may be consistently combined for various iterable forcing classes. The extent to which resurrection and maximality overlap is explored via the local maximality principle.

Keywords

subcomplete forcingproper forcingthe maximality principlethe resurrection axiom

MSC classification

Primary: 03E40: Other aspects of forcing and Boolean-valued models
Secondary: 03E55: Large cardinals
Type
Article
Information
The Journal of Symbolic Logic , Volume 86 , Issue 1 , March 2021 , pp. 397 - 414
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Copyright
© The Association for Symbolic Logic 2021

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Footnotes

Some of the material presented here is based on the author’s doctoral thesis [14], written at the Graduate Center of CUNY under the supervision of Gunter Fuchs.

References

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