Fat P-sets in the Space ω^∗

• Autorzy: Frankiewicz R. , Grzech M. , Zbierski P.

Identyfikatory

DOI

10.4064/ba53-2-1

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

omega; Gregorieff forcing; P-set; fat; kappa-cc

PL

omega*; zbiór P; kappa-cc

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: Vol. 53, no 2
• Strony: 121--129
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Frankiewicz R.

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

autor

Grzech M.

• Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland

autor

Zbierski P.

• 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.