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 |
. |
Category:
|
math |
. |
MSC:
|
03E05 |
MSC:
|
03G05 |
MSC:
|
04A20 |
MSC:
|
06E05 |
MSC:
|
06E10 |
MSC:
|
91A05 |
idZBL:
|
Zbl 0516.04007 |
idMR:
|
MR711272 |
. |
Date available:
|
2008-06-05T21:15:16Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106233 |
. |
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 |
. |