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References
B. Balcar, J. Pelant, and P. Simon, The space of ultrafilters on N covered by nowhere dense sets, Fund. Math. 110 (1980) 11–24.
J. Baumgartner, Iterated forcing, in Surveys in Set Theory, ed. A.R.D. Mathias, London Math. Soc. Lecture Notes 87, 1983, pp. 1–59.
D. Bellamy, A non-metric indecomposable continuum, Duke Math. J. 38 (1971) 15–20.
A. Blass, Ultrafilters related to Hindman’s finite unions theorem and its extensions, in Logic and Combinatorics, ed. S. Simpson, Contemporary Mathematics 65 (1987) 89–124.
_____, Near coherence of filters, I: Cofinal equivalence of models of arithmetic, Notre Dame J. Formal Logic 27 (1986) 579–591.
___, Near coherence of filters, II: Applications to operator ideals, the Stone-Cech remainder of a half-line, order ideals of sequences, and slenderness of groups, Trans. Amer. Math. Soc. 300 (1987) 557–581.
___ and C. Laflamme, Consistency results about filters and the number of inequivalent growth types, to appear in J. Symbolic Logic.
___ and S. Shelah, Ultrafilters with small generating sets, to appear.
___, ___, There may be simple Pℵ 1 and Pℵ 2 points and the Rudin-Keisler order may be downward directed, Ann. Pure Appl. Logic 83 (1987) 213–243.
___, ___, Near coherence of filters, III: A simplified consistency proof, to appear.
___ and G. Weiss, A characterization and sum decomposition of operator ideals, Trans. Amer. Math. Soc. 246 (1978) 407–417.
A. Brown, C. Pearcy, and N. Salinas, Ideals of compact operators on Hilbert space, Michigan Math. J. 19 (1971) 373–384.
E. van Douwen, The integers and topology, in Handbook of Set-Theroretic Topology, ed. K. Kunen and J. Vaughan, North-Holland, 1984, pp. 111–167.
R. Göbel and B. Wald, Wachstumstypen und schlanke Gruppen, Symposia Math. 23 (1979) 201–239.
___, ___, Martin’s axiom implies the existence of certain slender groups, Math. Z. 172 (1980) 107–121.
J. Ketonen, On the existence of P-points in the Stone-Cech compactification of integers, Fund. Math. 92 (1976) 91–94.
P. Matet, Some filters of partitions, to appear.
A. Miller, Rational perfect set forcing, in Axiomatic Set Theory, ed. J. Baumgartner, D.A. Martin, and S. Shelah, Contemporary Mathematics 31 (1964) 143–159.
J. Midoduszewski, On composants of βR-R, Proc. Conf. Topology and Measure, I (Zinnowitz), ed. J. Flachsmeyer, Z. Frolik, and F. Terpe, Ernst-Moritz-Arndt-Universität zu Greifwald, 1978, 257–283.
_____, An approach to βR\R, in Topology, ed. A. Császár, Colloq. Math. Soc. János Bolyai 23 (1980) 853–854.
M.E. Rudin, Composants and βN, Proc. Washington State Univ. Conf. General Toplogy 1970, pp. 117–119.
W. Rudin, Homogeneity problems in the theory of Cech compactifications, Duke Math. J. 23 (1956) 409–419.
S. Shelah, Proper Forcing, Lecture Notes in Mathematics 940, Springer-Verlag 1982.
R.C. Solomon, Families of sets and functions, Czechoslovak Math. J. 27 (1977) 556–559.
E. Specker, Additive Gruppen von Folgen ganzer Zahlen, Portugal. Math. 9 (1950) 131–140.
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Blass, A. (1989). Applications of superperfect forcing and its relatives. In: Steprāns, J., Watson, S. (eds) Set Theory and its Applications. Lecture Notes in Mathematics, vol 1401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097329
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DOI: https://doi.org/10.1007/BFb0097329
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