On reflection of stationary sets in $\mathcal {P}_\kappa \lambda$
Authors:
Thomas Jech and Saharon Shelah
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
Published electronically:
April 20, 1999
MathSciNet review:
1650097
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Abstract | References | Similar Articles | Additional Information
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
Article copyright:
© Copyright 2000
American Mathematical Society