Nonreflecting stationary subsets of Pκλ
Abe, Yoshihiro
Fundamenta Mathematicae, Tome 163 (2000), p. 55-66 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We explore the possibility of forcing nonreflecting stationary sets of Pκλ. We also present a Pκλ generalization of Kanamori’s weakly normal filters, which induces stationary reflection.

Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:212460 
@article{bwmeta1.element.bwnjournal-article-fmv165i1p55bwm,
     author = {Yoshihiro Abe},
     title = {Nonreflecting stationary subsets of $P\_$\kappa$$\lambda$$
            },
     journal = {Fundamenta Mathematicae},
     volume = {163},
     year = {2000},
     pages = {55-66},
     zbl = {0969.03058},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv165i1p55bwm}
}

Abe, Yoshihiro. Nonreflecting stationary subsets of $P_κλ$
            . Fundamenta Mathematicae, Tome 163 (2000) pp. 55-66. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv165i1p55bwm/

[00000] [1] Y. Abe, Strongly normal ideals on Pκλ and the Sup-function, Topology Appl. 74 (1996), 97-107.

[00001] [2] Y. Abe, Combinatorial characterization of Π11-indescribability in Pκλ, Arch. Math. Logic 37 (1998), 261-272.

[00002] [3] A. Apter and S. Shelah, Menas' result is best possible, Trans. Amer. Math. Soc. 349 (1997), 2007-2034. | Zbl 0876.03030

[00003] [4] D. M.Carr, A note on the λ-Shelah property, Fund. Math. 128 (1987), 197-198. | Zbl 0647.03041

[00004] [5] D. M.Carr, J. P. Levinski and D. H. Pelletier, On the existence of strongly normal ideals on Pκλ, Arch. Math. Logic 30 (1990), 59-72. | Zbl 0711.03019

[00005] [6] M. Gitik, Nonsplitting stationary subsets of Pκκ+, J. Symbolic Logic 50 (1985), 881-894. | Zbl 0601.03021

[00006] [7] T. Jech, Some combinatorial problems concerning uncountable cardinals, Ann. Math. Logic 5 (1973), 165-198. | Zbl 0262.02062

[00007] [8] C. A.Johnson, Some partition relations for ideals on Pκλ, Acta Math. Hungar. 56 (1990), 269-282. | Zbl 0733.03039

[00008] [9] A. Kanamori, Weakly normal filters and irregular ultrafilters, Trans. Amer. Math. Soc. 220 (1976), 393-399. | Zbl 0341.02058

[00009] [10] P. Koszmider, Semimorasses and nonreflection at singular cardinals, Ann. Pure Appl. Logic 72 (1995), 1-23. | Zbl 0843.03025

[00010] [11] P. Matet, Concerning stationary subsets of [λ]<κ, in: Set Theory and its Applications, Lecture Notes in Math. 1401, Springer, 1989, 119-127.