The cofinality spectrum of the infinite symmetric group

Journal of Symbolic Logic

Volumn 62, Issue 3, 1997, Pages 902-916

  Shelah, Saharon ^a   Thomas, Simon ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031485268     PISSN: 00224812     EISSN: None     Source Type: Journal    
DOI: 10.2307/2275578     Document Type: Article

References (13)

1. M. R. BURKE and M. MAGIDOR, Shelah's pet theory and its applications, Annals of Pure and Applied Logic, vol. 50 (1990), pp. 207-254.
2. M. GITIK and M. MAGIDOR, The singular cardinal hypothesis revisited, Set theory of the continuum (H. Judah, W. Just, and H. Woodin, editors), Mathematical Sciences Research Institute Publications, vol. 26, Springer-Verlag, 1992, pp. 243-279.
3. W. HODGES, I. HODKINSON, D. LASCAR, and S. SHELAH, The small index property for ω-stable ω-categorical structures and for the random graph, Journal of the London Mathematical Society, vol. 48 (1993), no. 2, pp. 204-218.
4. K. KUNEN, Set theory, an introduction to independence proofs, North Holland, Amsterdam, 1980.
5. H. D. MACPHERSON and P. M. NEUMANN, Subgroups of infinite symmetric groups, Journal of the London Mathematical Society, vol. 42 (1990), no. 2, pp. 64-84.
6. J. D. SHARP and SIMON THOMAS, Uniformisation problems and the cofinality of the infinite symmetric group, Notre Dame Journal of Formal Logic, vol. 35 (1994), pp. 328-345.
7. J. D. SHARP and SIMON THOMAS, Unbounded families and the cofinality of the infinite symmetric group, Arch. Math. Logic, vol. 34 (1995), pp. 33-45.
8. S. SHELAH, Further cardinal arithmetic, to appear in Israel Journal of Mathematics.
9. _, PCF and infinite free subsets, submitted to Archive for Mathematical Logic.
10. _, Strong partition relations below the power set: Consistency, Was Sierpinski right? II. in Proceedings of the Conference on Set Theory and its Applications in honor of A. Hajnal and V. T. Sos, Budapest, Sets, Graphs and Numbers, vol. 60 of Colloquia Mathematica Societatis Janos Bolyai (1991), pp. 637-668.
11. _, Cardinal arithmetic for skeptics, American Mathematical Society Bulletin, New Series, vol. 26 (1992), pp. 197-210.
12. _, Advances in cardinal arithmetic, Finite and infinite combinatorics in sets and logic (N. W. Sauer, R. E. Woodrow, and B. Sands, editors), Kluwer Academic Publishers, 1993, pp. 355-383.
13. _, Cardinal arithmetic, Oxford Logic Guides, vol. 29, Oxford University Press, 1994.