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Article

Title: Game properties of Boolean algebras (English)
Author: Vojtáš, Peter
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 24
Issue: 2
Year: 1983
Pages: 349-369
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Category: math
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MSC: 03E05
MSC: 03G05
MSC: 04A20
MSC: 06E05
MSC: 06E10
MSC: 91A05
idZBL: Zbl 0516.04007
idMR: MR711272
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Date available: 2008-06-05T21:15:16Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106233
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Reference: [1] B. BALCAR J. PELANT P. SIMON: The space of ultrafilters on N covered by nowhere dense sets.Fund. Math. 110 (1980), 11-24. MR 0600576
Reference: [2] L. BUKOVSKÝ: $\Detla $ -model and distributivity in Boolean algebras.Comment. Math. Univ. Carolinae 9 (1968), 595-612. MR 0262129
Reference: [3] P. L. DORDAL: Independence result a concerning some combinatorial properties of the continuum.Ph.D.Thesis, Harvard University, Cambridge, Mass. 1982.
Reference: [4] M. FOREMAN: Games played on Boolean algebras.Preprint. Zbl 0536.03033, MR 0716633
Reference: [5] C. GRAY: Iterated forcing from the strategic point of view.Ph.D.Thesis, Berkeley 1980.
Reference: [6] T. JECH: A game theoretic property of Boolean algebras.Logio Colloquium '77 (A. Mac Intyre et al., eds.) p. 135-144 North Holland Publ. Co. Amsterdam 1978. Zbl 0466.90100, MR 0519808
Reference: [7] T. JECH: Set theory.Academic Press, Nev York 1978. Zbl 0419.03028, MR 0506523
Reference: [8] R. S. PIERCE: Models over commutative rings.Meat. Amer. Math. Soc. no 70, Providence, R.I. , AMS 1967. MR 0217056
Reference: [9] A. SZYMANSKI H. X. ZHOU: .to appear in General Topology and its Relatione to Modern Analysis and Algebra V. (Proc. Fifth Prague Topological Symp. 1981). Heldermann Verlag, Berlin 1982. MR 0698462
Reference: [10] P. VOJTÁŠ: A transfinite Boolean game and a generalization of Kripke's embedding theorem.General Topology and its Relations to Modern Analysis and Algebra V. (Proc. Fifth Prague Topological Symp. 1981). Heldermann Verlag, Berlin 1982, 663-668.
Reference: [11] P. VOJTÁŠ: Simultaneous strategies and Boolean games of uncountable length.(Proc. 10th Winter Sohool on Abstract Analyais, Srní 1982). Supplemento ai Randiconti del Circolo Matematico di Palermo, Serie II, 2, 1982, 293-297. MR 0683791
Reference: [12] P. VOPĚNKA P. HÁJEK: The theory of semisets.Academic Prague and North Holland, Amsterdam 1972. MR 0444473
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