Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-23T05:51:41.671Z Has data issue: false hasContentIssue false
  • English
  • Français

Guessing with Mutually Stationary Sets

Published online by Cambridge University Press:  20 November 2018

Pierre Matet
Pierre Matet*
Affiliation:
Université de Caen - CNRS, Laboratoire de Mathématiques, 14032 Caen Cedex, France. e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We use the mutually stationary sets of Foreman and Magidor as a tool to establish the validity of the two-cardinal version of the diamond principle in some special cases.

Keywords

03E05Pκ(λ)diamond principle
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 4 , 01 December 2008 , pp. 579 - 583
Copyright
Copyright © Canadian Mathematical Society 2008

References

[1] Donder, H. D. and Matet, P., Two cardinal versions of diamond. Israel J. Math. 83(1993), no. 1-2, 1–43.Google Scholar
[2] Foreman, M. and Magidor, M., Mutually stationary sequence of sets and the non-saturation of the non-stationary ideal on Pκ(λ). Acta Math. 186(2001), no. 2, 271–300.Google Scholar
[3] Jech, T. J., Some combinatorial problems concerning uncountable cardinals. Ann. Math. Logic 5(1972/73), 165–198.Google Scholar
[4] Matet, P., Concerning stationary subsets of [λ]<κ . In: Set Theory and Its Applications. Lecture Notes in Mathematics 1401, Springer, Berlin, 1989, pp. 119–127.Google Scholar
[5] Matet, P., Game ideals. Ann. Pure Appl. Logic, to appear.Google Scholar
[6] Shioya, M., Splitting Pκλ into maximally many stationary sets. Israel J. Math. 114(1999), 347–357.Google Scholar