The first derived limit and compactly Fσ sets

Stevo TODORCEVIC

doi:10.2969/jmsj/05040831

The first derived limit and compactly F_σ sets

Stevo TODORCEVIC

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JOURNAL FREE ACCESS

1998 Volume 50 Issue 4 Pages 831-836

DOI https://doi.org/10.2969/jmsj/05040831

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Published: 1998 Received: September 25, 1996 Available on J-STAGE: October 20, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: October 20, 2006 Reason for correction: - Correction: TITLE Details: Wrong : The first derived limit and compactly F_σ sets
Right : The first derived limit and compactly F_σ sets

Date of correction: October 20, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) D. H. Fremlin, Consequences of Martin's axiom, Cambridge University Press, 1984.
2) D. H. Fremlin, Problems, version of 21 April 1994.
3) S. Grigorieff, Combinatorics on ideals and forcing, Ann. Math. Logic. 3 (1971), 363-394.
4) C. U. Jensen, Les Foncteurs Dérivés de lim et leurs Applications en Théorie des Modules, Lect. Notes in Math. vol. 254 Springer-Verlag, 1972.
5) S. Shelah, Proper Forcing, Lect. Notes in Math. vol. 490 Springer-Verlag, 1982.
6) S. Todorcevic, Partition problems in topology, Cont. Math. Series, vol. 84, Amer. Math. Soc., Providence 1989.
7) M. Bekkali, Topics in set theory, Lect. Notes in Math. vol. 1476 Springer-Verlag 1991.
8) K. Kunen, (κ, λ^*) gaps under MA, preprint 1976.
9) S. Mardesic and Prasolov, Strong homology is not additive, Trans. Amer. Math. Soc. 307 (1988), 725-744.
10) A. Dow, P. Simon, and J. E. Vaughan, Strong homology and the proper forcing axiom, Proc. Amer. Math. Soc. 106 (1989), 821-828.
11) A. R. D. Mathias, A. J. Ostaszewski and M. Talagrand, On the existence of an analytic set meeting each compact set in a Borel set, Math. Proc. Camb. Phil. Soc. 84 (1978), 5-10.
12) K. Kunen and A. W. Miller, Borel and projective sets from the point of view of compact sets, Math. Proc. Camb. Phil. Soc. 94 (1983), 399-409.
13) S. Kamo, Almost coinciding families and gaps in _??_(ω), J. Math. Soc. Japan vol. 45. (1993), 357-368.
14) J.-E. Roos, Sur les foncteurs dérivés de lim. Applications., C. R. Acad. Sci. Paris 252 (1961), 3702- 3704.
15) S. Todorcevic and I. Farah, Some applications of the method of forcing, Yenisei, Moscow, 1995.
16) Q. Feng, Homogeneity for open partitions of reals, Trans. Amer. Math. Soc. 339 (1993), 659-684.
17) A.S. Kechris, Classical Descriptive Set Theory, Springer-Verlag, New York, 1995.
18) H. Becker, Analytic sets from the point of view of compact sets, Math. Proc. Camb. Phil. Soc. 99 (1986), 1-4.
19) K. Kuratowski, Topology I, Academic Press, New York 1966.

Right : [1] D. H. Fremlin, Consequences of Martin's axiom, Cambridge University Press, 1984.
[2] D. H. Fremlin, Problems, version of 21 April 1994.
[3] S. Grigorieff, Combinatorics on ideals and forcing, Ann. Math. Logic. 3 (1971), 363-394.
[4] C. U. Jensen, Les Foncteurs Dérivés de lim et leurs Applications en Théorie des Modules, Lect. Notes in Math. vol. 254 Springer-Verlag, 1972.
[5] S. Shelah, Proper Forcing, Lect. Notes in Math. vol. 490 Springer-Verlag, 1982.
[6] S. Todorcevic, Partition problems in topology, Cont. Math. Series, vol. 84, Amer. Math. Soc., Providence 1989.
[7] M. Bekkali, Topics in set theory, Lect. Notes in Math. vol. 1476 Springer-Verlag 1991.
[8] K. Kunen, (κ, λ) gaps under MA, preprint 1976.
[9] S. Mardesic and Prasolov, Strong homology is not additive, Trans. Amer. Math. Soc. 307 (1988), 725-744.
[10] A. Dow, P. Simon, and J. E. Vaughan, Strong homology and the proper forcing axiom, Proc. Amer. Math. Soc. 106 (1989), 821-828.
[11] A. R. D. Mathias, A. J. Ostaszewski and M. Talagrand, On the existence of an analytic set meeting each compact set in a Borel set, Math. Proc. Camb. Phil. Soc. 84 (1978), 5-10.
[12] K. Kunen and A. W. Miller, Borel and projective sets from the point of view of compact sets, Math. Proc. Camb. Phil. Soc. 94 (1983), 399-409.
[13] S. Kamo, Almost coinciding families and gaps in ℘(ω), J. Math. Soc. Japan vol. 45. (1993), 357-368.
[14] J. -E. Roos, Sur les foncteurs dérivés de lim. Applications., C. R. Acad. Sci. Paris 252 (1961), 3702- 3704.
[15] S. Todorcevic and I. Farah, Some applications of the method of forcing, Yenisei, Moscow, 1995.
[16] Q. Feng, Homogeneity for open partitions of reals, Trans. Amer. Math. Soc. 339 (1993), 659-684.
[17] A. S. Kechris, Classical Descriptive Set Theory, Springer-Verlag, New York, 1995.
[18] H. Becker, Analytic sets from the point of view of compact sets, Math. Proc. Camb. Phil. Soc. 99 (1986), 1-4.
[19] K. Kuratowski, Topology I, Academic Press, New York 1966.

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