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Square below a non-weakly compact cardinal

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2020

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Archive for Mathematical Logic. Springer. 2020, 59(3-4), pp. 409-426. ISSN 0933-5846. eISSN 1432-0665. Available under: doi: 10.1007/s00153-019-00695-6

Zusammenfassung

In his seminal paper introducing the fine structure of L, Jensen (Ann Math Log 4:229–308, 1972) proved that under V=L any regular cardinal that reflects stationary sets is weakly compact. In this paper we give a new proof of Jensen’s result that is straight-forward and accessible to those without a knowledge of Jensen’s fine structure theory. The proof here instead uses hyperfine structure, a very natural and simpler alternative to fine structure theory introduced by Friedman and Koepke (Bull Symb Log 3:453–468, 1997).

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510 Mathematik

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ISO 690BRICKHILL, Hazel, 2020. Square below a non-weakly compact cardinal. In: Archive for Mathematical Logic. Springer. 2020, 59(3-4), pp. 409-426. ISSN 0933-5846. eISSN 1432-0665. Available under: doi: 10.1007/s00153-019-00695-6
BibTex
@article{Brickhill2020-05Squar-48768,
  year={2020},
  doi={10.1007/s00153-019-00695-6},
  title={Square below a non-weakly compact cardinal},
  number={3-4},
  volume={59},
  issn={0933-5846},
  journal={Archive for Mathematical Logic},
  pages={409--426},
  author={Brickhill, Hazel}
}
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