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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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On reflection of stationary sets in $\mathcal {P}_\kappa \lambda$
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by Thomas Jech and Saharon Shelah PDF
Trans. Amer. Math. Soc. 352 (2000), 2507-2515 Request permission

Abstract:

Let $\kappa$ be an inaccessible cardinal, and let $E_{0} = \{x \in \mathcal {P}_{\kappa }\kappa ^{+} : \text {cf} \; \lambda _{x} = \text {cf} \; \kappa _{x}\}$ and $E_{1} = \{x \in \mathcal {P}_{\kappa }\kappa ^{+} : \kappa _{x}$ is regular and $\lambda _{x} = \kappa _{x}^{+}\}$. It is consistent that the set $E_{1}$ is stationary and that every stationary subset of $E_{0}$ reflects at almost every $a \in E_{1}$.
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Additional Information
  • Thomas Jech
  • Affiliation: Department of Mathematics, The Pennsylvania State University, University Park, Pennsylvania 16802
  • Email: jech@math.psu.edu
  • Saharon Shelah
  • Affiliation: Institute of Mathematics, The Hebrew University, Jerusalem, Israel
  • MR Author ID: 160185
  • ORCID: 0000-0003-0462-3152
  • Received by editor(s): January 26, 1998
  • Published electronically: April 20, 1999
  • Additional Notes: Supported by NSF grants DMS-9401275 and DMS 97-04477
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 2507-2515
  • MSC (1991): Primary 03E35, 03E55
  • DOI: https://doi.org/10.1090/S0002-9947-99-02448-4
  • MathSciNet review: 1650097