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Volumn 46, Issue 4, 2002, Pages 999-1035

How many boolean algebras P(ℕ)/I are there?

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EID: 0141543842     PISSN: 00192082     EISSN: None     Source Type: Journal    
DOI: 10.1215/ijm/1258138463     Document Type: Article
Times cited : (30)

References (32)
  • 1
    • 0004243841 scopus 로고
    • North-Holland Publishing Co., Amsterdam
    • C.C. Chang and H.J. Keisler, Model theory, North-Holland Publishing Co., Amsterdam, 1973.
    • (1973) Model Theory
    • Chang, C.C.1    Keisler, H.J.2
  • 2
    • 0002304247 scopus 로고
    • The automorphism group of P(ω)/Fin need not be simple
    • E.K. van Douwen, The automorphism group of P(ω)/Fin need not be simple, Topology Appl. 34 (1990), 97-104.
    • (1990) Topology Appl. , vol.34 , pp. 97-104
    • Van Douwen, E.K.1
  • 3
    • 84966227376 scopus 로고
    • Parovičenko's characterization of βω - ω implies CH
    • E.K. van Douwen and J. van Mill, Parovičenko's characterization of βω - ω implies CH, Proc. Amer. Math. Soc. 72 (1978), 539-541.
    • (1978) Proc. Amer. Math. Soc. , vol.72 , pp. 539-541
    • Van Douwen, E.K.1    Van Mill, J.2
  • 4
    • 0038690107 scopus 로고    scopus 로고
    • Applications of another characterization of βℕ\ℕ
    • A. Dow and K.P. Hart, Applications of another characterization of βℕ\ℕ, Topology Appl. 122 (2002), 105-133.
    • (2002) Topology Appl. , vol.122 , pp. 105-133
    • Dow, A.1    Hart, K.P.2
  • 5
    • 0032383625 scopus 로고    scopus 로고
    • Completely additive liftings
    • I. Farah, Completely additive liftings, Bull. Symbolic Logic 4 (1998), 37-54.
    • (1998) Bull. Symbolic Logic , vol.4 , pp. 37-54
    • Farah, I.1
  • 6
    • 0034311439 scopus 로고    scopus 로고
    • Analytic quotients: Theory of liftings for quotients over analytic ideals on the integers
    • _, Analytic quotients: theory of liftings for quotients over analytic ideals on the integers, Mem. Amer. Math. Soc. 148 (2000).
    • (2000) Mem. Amer. Math. Soc. , vol.148
  • 7
    • 0141473653 scopus 로고    scopus 로고
    • preprint
    • _, Luzin gaps, preprint, 2001; available at http://www.math.yorku.ca/∼ifarah.
    • (2001) Luzin Gaps
  • 8
    • 0344693322 scopus 로고    scopus 로고
    • Rigidity conjectures
    • to appear
    • _, Rigidity conjectures, Proceedings of Logic Colloquium 2000, to appear; available at http://www.math.yorku.ca/∼ifarah.
    • (2000) Proceedings of Logic Colloquium
  • 10
    • 0002371655 scopus 로고    scopus 로고
    • preprint, University of Essex, June
    • D.H. Fremlin, Notes on farah P99, preprint, University of Essex, June 1999.
    • (1999) Notes on Farah P99
    • Fremlin, D.H.1
  • 11
    • 0000937060 scopus 로고
    • On certain Boolean algebras P(ω)/I
    • W. Just and A. Krawczyk, On certain Boolean algebras P(ω)/I, Trans. Amer. Math. Soc. 285 (1984), 411-429.
    • (1984) Trans. Amer. Math. Soc. , vol.285 , pp. 411-429
    • Just, W.1    Krawczyk, A.2
  • 13
    • 0041084866 scopus 로고    scopus 로고
    • On Ulam's problem concerning the stability of approximate homomorphisms
    • Russian
    • V. Kanovei and M. Reeken, On Ulam's problem concerning the stability of approximate homomorphisms, Tr. Mat. Inst. Steklova 231 (2000), 249-283 (Russian); English translation: Proc. Steklov Inst. Math. 2000, no. 4 (231), 238-270.
    • (2000) Tr. Mat. Inst. Steklova , vol.231 , pp. 249-283
    • Kanovei, V.1    Reeken, M.2
  • 14
    • 0141808361 scopus 로고    scopus 로고
    • English translation
    • V. Kanovei and M. Reeken, On Ulam's problem concerning the stability of approximate homomorphisms, Tr. Mat. Inst. Steklova 231 (2000), 249-283 (Russian); English translation: Proc. Steklov Inst. Math. 2000, no. 4 (231), 238-270.
    • (2000) Proc. Steklov Inst. Math. , vol.231 , Issue.4 , pp. 238-270
  • 15
    • 0039013811 scopus 로고    scopus 로고
    • New Radon- Nikodym ideals
    • _, New Radon- Nikodym ideals, Mathematika 47 (2002), 219-227.
    • (2002) Mathematika , vol.47 , pp. 219-227
  • 16
    • 0012991993 scopus 로고
    • Homogeneous Boolean algebras may have non-simple automorphism groups
    • S. Koppelberg, Homogeneous Boolean algebras may have non-simple automorphism groups, Topology Appl. 21 (1985), 103-120.
    • (1985) Topology Appl. , vol.21 , pp. 103-120
    • Koppelberg, S.1
  • 17
    • 84966216906 scopus 로고
    • A note on Borel equivalence relations
    • A. Louveau and B. Velickovic, A note on Borel equivalence relations, Proc. Amer. Math. Soc. 120 (1994), 255-259.
    • (1994) Proc. Amer. Math. Soc. , vol.120 , pp. 255-259
    • Louveau, A.1    Velickovic, B.2
  • 18
    • 0001407334 scopus 로고
    • A remark on rare filters
    • Coll. Math. Soc, Janos Bolyai, vol. 10, North Holland, Amsterdam
    • A.R.D. Mathias, A remark on rare filters, Infinite and finite sets (Colloq., Keszthely, 1973), vol. III, Coll. Math. Soc, Janos Bolyai, vol. 10, North Holland, Amsterdam, 1975, pp. 1095-1097.
    • (1975) Infinite and Finite Sets (Colloq., Keszthely, 1973) , vol.3 , pp. 1095-1097
    • Mathias, A.R.D.1
  • 19
    • 0000285924 scopus 로고
    • 1*-gaps in the Boolean algebra P(ω)/I
    • 1*-gaps in the Boolean algebra P(ω)/I, Fund. Math. 138 (1991), 103-111.
    • (1991) Fund. Math. , vol.138 , pp. 103-111
    • Mazur, K.1
  • 20
    • 0001349116 scopus 로고
    • On the number of complete Boolean algebras
    • J.D. Monk and R.M. Solovay, On the number of complete Boolean algebras, Algebra Universal 2 (1972), 365-368.
    • (1972) Algebra Universal , vol.2 , pp. 365-368
    • Monk, J.D.1    Solovay, R.M.2
  • 22
    • 84966257227 scopus 로고
    • Homogeneity problems in the theory of Čech compactifications
    • W. Rudin, Homogeneity problems in the theory of Čech compactifications, Duke Math. J. 23 (1956), 409-419.
    • (1956) Duke Math. J. , vol.23 , pp. 409-419
    • Rudin, W.1
  • 23
    • 0003305609 scopus 로고
    • Proper forcing
    • Springer-Verlag, Berlin
    • S. Shelah, Proper forcing, Lecture Notes in Mathematics, vol. 940, Springer-Verlag, Berlin, 1982.
    • (1982) Lecture Notes in Mathematics , vol.940
    • Shelah, S.1
  • 24
    • 0001982461 scopus 로고
    • Non-trivial homeomorphisms of βℕ\ℕ without the continuum hypothesis
    • S. Shelah and J. Steprans, Non-trivial homeomorphisms of βℕ\ℕ without the continuum hypothesis, Fund. Math. 132 (1989), 135-141.
    • (1989) Fund. Math. , vol.132 , pp. 135-141
    • Shelah, S.1    Steprans, J.2
  • 25
    • 0033620985 scopus 로고    scopus 로고
    • Analytic ideals and their applications
    • S. Solecki, Analytic ideals and their applications, Ann. Pure Appl. Logic 99 (1999), 51-72.
    • (1999) Ann. Pure Appl. Logic , vol.99 , pp. 51-72
    • Solecki, S.1
  • 27
    • 0141473648 scopus 로고    scopus 로고
    • June 10
    • _, email message, June 10, 2002.
    • (2002) Email Message
  • 28
    • 0002755941 scopus 로고    scopus 로고
    • Gaps in analytic quotients
    • S. Todorcevic, Gaps in analytic quotients, Fund, Math. 156 (1998), 85-97.
    • (1998) Fund, Math. , vol.156 , pp. 85-97
    • Todorcevic, S.1
  • 29
    • 84968501895 scopus 로고
    • Definable automorphisms of P(ω)/ Fin
    • B. Velickovic, Definable automorphisms of P(ω)/ Fin, Proc. Amer. Math. Soc. 96 (1986), 130-135.
    • (1986) Proc. Amer. Math. Soc. , vol.96 , pp. 130-135
    • Velickovic, B.1
  • 30
    • 0002231310 scopus 로고
    • Homogeneous Boolean algebras
    • D. Monk and R. Bonnett, eds., North-Holland, Amsterdam
    • P. Štěpánek and M. Rubin, Homogeneous Boolean algebras, Handbook of Boolean algebras (D. Monk and R. Bonnett, eds.), vol. 2, North-Holland, Amsterdam, 1989, pp. 679-715.
    • (1989) Handbook of Boolean Algebras , vol.2 , pp. 679-715
    • Štěpánek, P.1    Rubin, M.2
  • 32
    • 84982151172 scopus 로고
    • Borel ideals vs. Borel sets of countable relations and trees
    • S. Zafrany, Borel ideals vs. Borel sets of countable relations and trees, Ann. Pure Appl. Logic 43 (1989), 161-195.
    • (1989) Ann. Pure Appl. Logic , vol.43 , pp. 161-195
    • Zafrany, S.1


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