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Abstrakty
We prove that—consistently—in the space ω∗ there are no P-sets with the c-cc and any two fat P-sets with the c+ -cc are coabsolute.
Wydawca
Rocznik
Tom
Strony
121--129
Opis fizyczny
Bibliogr. 7 poz.
Twórcy
autor
- Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland
autor
- Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland
autor
- Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
Bibliografia
- [1] B. Balcar, J. Pelant and P. Simon, The space of ultrafilters on N covered by nowhere dense sets, Fund. Math. 110 (1980), 11—24.
- [2] J. Baumgartner and R. Laver, Iterated perfect-set forcing, Ann. Math. Logic 17 (1979), 271—288.
- [3] R. Frankiewicz, S. Shelah and P. Zbierski, On closed P-sets with ccc in the space ω*, J. Symbolic Logic 58 (1993), 1171-1177.
- [4] R. Frankiewicz and P. Zbierski, Hausdorff Gaps and Limits, Elsevier, 1994.
- [5] —, —, Strongly discrete subsets in ω*, Fund. Math. 129 (1988), 173—180.
- [6] W. Rudin, Homogeneity problems in the theory of Čech compactification, Duke Math. J. 23 (1956), 409-419.
- [7] S. Shelah, Proper Forcing, Lecture Notes in Math. 940, Springer, Berlin, 1982.
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Bibliografia
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bwmeta1.element.baztech-article-BAT5-0006-0045