Q-pointness, P-pointness and feebleness of ideals
Pierre Matet and Janusz Pawlikowski
Source: J. Symbolic Logic Volume 68, Issue 1 (2003), 235-261.
Abstract
We study the degree of (weak) $Q$-pointness, and that of (weak) $P$-pointness, of ideals on a regular infinite cardinal.
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Permanent link to this document: http://projecteuclid.org/euclid.jsl/1045861512
Mathematical Reviews number (MathSciNet):
MR1959318
Zentralblatt MATH identifier:
02061952
Digital Object Identifier: doi:10.2178/jsl/1045861512
References
B. Balcar and P. Simon Disjoint refinement, Handbook of Boolean algebras (J. D. Monk and R. Bonnet, editors), vol. 2, North-Holland ,1989, pp. 333--388.
Mathematical Reviews (MathSciNet):
MR991597
J. E. Baumgartner, A. D. Taylor, and S. Wagon Structural properties of ideals, Dissertationes Mathematicae, vol. 197 (1982).
Mathematical Reviews (MathSciNet):
MR687276
A. Blass Groupwise density and related cardinals, Archive for Mathematical Logic, vol. 30 (1990), pp. 1--11.
Mathematical Reviews (MathSciNet):
MR1074445
A. Blass and S. Shelah There may be simple $P_\aleph_1$- and $P_\aleph_2$-points and the Rudin-Keisler ordering may be downward directed, Annals of Pure and Applied Logic, vol. 33 (1987), pp. 213--243.
Mathematical Reviews (MathSciNet):
MR879489
Digital Object Identifier: doi:10.1016/0168-0072(87)90082-0
R. M. Canjar On the generic existence of special ultrafilters, Proceedings of the American Mathematical Society, vol. 110 (1990), pp. 233--241.
Mathematical Reviews (MathSciNet):
MR993747
P. L. Dordal Towers in $[\omega ]^\omega$ and $^\omega\omega$, Annals of Pure and Applied Logic, vol. 45 (1989), pp. 247--276.
Mathematical Reviews (MathSciNet):
MR1032832
Digital Object Identifier: doi:10.1016/0168-0072(89)90038-9
R. Frankiewicz and P. Zbierski Strongly discrete subsets of $\omega^*$, Fundamenta Mathematicae, vol. 129 (1988), pp. 173--180.
Mathematical Reviews (MathSciNet):
MR962539
S. H. Hechler On the existence of certain cofinal subsets of\, $^\omega\omega$, Axiomatic set theory (Proceedings of Symposia in Pure Mathematics, volume 13, part II) (T. Jech, editor), American Mathematical Society ,1974, pp. 155--173.
Mathematical Reviews (MathSciNet):
MR360266
Zentralblatt MATH:
0326.02047
T. J. Jech Set theory, Academic Press ,1978.
W. Just, A. R. D. Mathias, K. Prikry, and P. Simon On the existence of large $p$-ideals, Journal of Symbolic Logic, vol. 55 (1990), pp. 457--465.
Mathematical Reviews (MathSciNet):
MR1056363
JSTOR: links.jstor.org
C. Laflamme Strong meager properties for filters, Fundamenta Mathematicae, vol. 146 (1995), pp. 283--293.
Mathematical Reviews (MathSciNet):
MR1323734
A. Landver Singular Baire numbers and related topics, Ph.D. thesis, University of Wisconsin, Madison, Wisconsin ,1990.
A. Louveau Une méthode topologique pour l'étude de la propriété de Ramsey, Israel Journal of Mathematics, vol. 23 (1976), pp. 97--116.
Mathematical Reviews (MathSciNet):
MR411971
P. Matet Combinatorics and forcing with distributive ideals, Annals of Pure and Applied Logic, vol. 86 (1997), pp. 137--201.
Mathematical Reviews (MathSciNet):
MR1457059
Digital Object Identifier: doi:10.1016/S0168-0072(96)00022-X
P. Matet and J. Pawlikowski Ideals over $\omega$ and cardinal invariants of the continuum, Journal of Symbolic Logic, vol. 63 (1998), pp. 1040--1054.
Mathematical Reviews (MathSciNet):
MR1649074
JSTOR: links.jstor.org
P. Matet, A. Rosłanowski, and S. Shelah Cofinality of the nonstationary ideal, preprint.
A. R. D. Mathias A remark on rare filters, Infinite and finite sets (Colloquia Mathematica Societatis János Bolyai, volume 10, part III) (A. Hajnal, R. Rado, and V. T. Sós, editors), North-Holland ,1975, pp. 1095--1097.
Mathematical Reviews (MathSciNet):
MR373898
Zentralblatt MATH:
0342.02050
A. W. Miller There are no $Q$-points in Laver's model for the Borel conjecture, Proceedings of the American Mathematical Society, vol. 78 (1980), pp. 103--106.
Mathematical Reviews (MathSciNet):
MR548093
J. Pawlikowski Powers of transitive bases of measure and category, Proceedings of the American Mathematical Society, vol. 93 (1985), pp. 719--729.
Mathematical Reviews (MathSciNet):
MR776210
S. Shelah Vive la différence I: non isomorphism of ultrapowers of countable models, Set theory of the continuum (H. Judah, W. Just, and H. Woodin, editors), Mathematical Sciences Research Institute Publications, vol. 26, Springer ,1992, pp. 357--405.
Mathematical Reviews (MathSciNet):
MR1233826
M. Talagrand Compacts de fonctions mesurables et filtres non mesurables, Studia Mathematica, vol. 67 (1980), pp. 13--43.
Mathematical Reviews (MathSciNet):
MR579439
F. D. Tall Some applications of a generalized Martin's axiom, Topology and its Applications, vol. 57 (1994), pp. 215--248.
Mathematical Reviews (MathSciNet):
MR1278025
Digital Object Identifier: doi:10.1016/0166-8641(94)90051-5
E. K. van Douwen The integers and topology, Handbook of set-theoretic topology (K. Kunen and J. E. Vaughan, editors), North-Holland ,1984, pp. 113--167.
Mathematical Reviews (MathSciNet):
MR776619
