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The iterability hierarchy above $${{\mathrm{\mathsf {I3}}}}$$ I 3

The iterability hierarchy above $${{\mathrm{\mathsf {I3}}}}$$ I 3 In this paper we introduce a new hierarchy of large cardinals between $${{\mathrm{\mathsf {I3}}}}$$ I 3 and $${{\mathrm{\mathsf {I2}}}}$$ I 2 , the iterability hierarchy, and we prove that every step of it strongly implies the ones below. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

The iterability hierarchy above $${{\mathrm{\mathsf {I3}}}}$$ I 3

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References (17)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s00153-018-0624-5
Publisher site
See Article on Publisher Site

Abstract

In this paper we introduce a new hierarchy of large cardinals between $${{\mathrm{\mathsf {I3}}}}$$ I 3 and $${{\mathrm{\mathsf {I2}}}}$$ I 2 , the iterability hierarchy, and we prove that every step of it strongly implies the ones below.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Apr 18, 2018

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