Completeness of Boolean powers of Boolean algebras

Makoto TAKAHASHI

doi:10.2969/jmsj/04030445

Makoto TAKAHASHI

著者情報

ジャーナルフリー

1988 年 40 巻 3 号 p. 445-456

DOI https://doi.org/10.2969/jmsj/04030445

詳細

Published: 1988 Received: 1986/03/10 Available on J-STAGE: 2006/10/20 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/10/20 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. Baumgartner, J. Malitz and W. Reinhart, Embedding trees in the rationals, Proc. Nat. Acad. Sci. U.S.A., 67 (1970), 1748-1753.
2) J. Baumgartner, L. Harrington and E. Kleinberg, Adding a closed unbounded set, J. Symbolic Logic, 41 (1976), 481-482.
3) S. Burris, Boolean powers, Algebra Universalis, 5 (1975), 341-360.
4) Ph. Dwinger, Completeness of Boolean powers of Boolean algebras, Universal algebra, Proc. Colloq., Esztergom/Hung., 1977, Colloq. Math. Soc. Janos Bolyai, 29 (1982), 209-217.
5) J. Gregory, A countably distributive complete Boolean algebra not uncountably representable, Proc. Amer. Math. Soc., 42 (1974), 42-46.
6) T. Jech, Set theory, Academic Press, New York, 1978.
7) K. Kunen, Set theory, An Introduction to Independence Proofs, North-Holland, Amsterdam, 1980.
8) R. Mansfield, The theory of Boolean ultrapowers, Ann. Math. Logic, 2 (1971), 297-323.
9) R. S. Pierse, A note on complete Boolean algebra, Proc. Amer. Math. Soc., 9 (1958), 892-896.
10) D. Scott, The independence of certain distributive laws in Boolean algebra, Trans. Amer. Math. Soc., 84 (1957), 258-261.
11) R. Sikorski, Boolean algebras, 3rd ed., Springer, 1969.
12) E. C. Smith, A distributive condition for Boolean algebra, Ann, of Math., 64 (1956), 551-561.
13) R. M. Solovay and S. Tennenbaum, Iterated Cohen extension and Souslin's problem, Ann. Math., 94 (1971), 201-245.

Right : [1] J. Baumgartner, J. Malitz and W. Reinhart, Embedding trees in the rationals, Proc. Nat. Acad. Sci. U. S. A., 67 (1970), 1748-1753.
[2] J. Baumgartner, L. Harrington and E. Kleinberg, Adding a closed unbounded set, J. Symbolic Logic, 41 (1976), 481-482.
[3] S. Burris, Boolean powers, Algebra Universalis, 5 (1975), 341-360.
[4] Ph. Dwinger, Completeness of Boolean powers of Boolean algebras, Universal algebra, Proc. Colloq., Esztergom/Hung., 1977, Colloq. Math. Soc. Janos Bolyai, 29 (1982), 209-217.
[5] J. Gregory, A countably distributive complete Boolean algebra not uncountably representable, Proc. Amer. Math. Soc., 42 (1974), 42-46.
[6] T. Jech, Set theory, Academic Press, New York, 1978.
[7] K. Kunen, Set theory, An Introduction to Independence Proofs, North-Holland, Amsterdam, 1980.
[8] R. Mansfield, The theory of Boolean ultrapowers, Ann. Math. Logic, 2 (1971), 297-323.
[9] R. S. Pierse, A note on complete Boolean algebra, Proc. Amer. Math. Soc., 9 (1958), 892-896.
[10] D. Scott, The independence of certain distributive laws in Boolean algebra, Trans. Amer. Math. Soc., 84 (1957), 258-261.
[11] R. Sikorski, Boolean algebras, 3rd ed., Springer, 1969.
[12] E. C. Smith, A distributive condition for Boolean algebra, Ann, of Math., 64 (1956), 551-561.
[13] R. M. Solovay and S. Tennenbaum, Iterated Cohen extension and Souslin's problem, Ann. Math., 94 (1971), 201-245.

訂正日: 2006/10/20 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

責任著者(Corresponding author)

訂正情報

J-STAGEへの登録はこちら（無料）