Hostname: page-component-84b7d79bbc-fnpn6 Total loading time: 0 Render date: 2024-07-25T22:51:03.858Z Has data issue: false hasContentIssue false

Guessing with Mutually Stationary Sets

Published online by Cambridge University Press:  20 November 2018

Pierre Matet*
Affiliation:
Université de Caen - CNRS, Laboratoire de Mathématiques, 14032 Caen Cedex, France. e-mail: matet@math.unicaen.fr
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.

Type
Research Article
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, 143.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, 271300.Google Scholar
[3] Jech, T. J., Some combinatorial problems concerning uncountable cardinals. Ann. Math. Logic 5(1972/73), 165198.Google Scholar
[4] Matet, P., Concerning stationary subsets of [λ] . In: Set Theory and Its Applications. Lecture Notes in Mathematics 1401, Springer, Berlin, 1989, pp. 119127.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), 347357.Google Scholar