Two cardinal versions of diamond

1. J. E. Baumgartner and A. D. Taylor,Saturation properties of ideals in generic extensions. I, Trans. Am. Math. Soc.270 (1982), 557–574.

   Article  MATH  MathSciNet  Google Scholar 

2. J. E. Baumgartner,On the size of closed unbounded sets, Ann. Pure Appl. Logic54 (1991), 195–227.

   Article  MATH  MathSciNet  Google Scholar 

3. M. R. Burke and M. Magidor,Shelah’s pcf theory and its applications, Ann. Pure Appl. Logic50 (1990), 207–254.

   Article  MATH  MathSciNet  Google Scholar 

4. K. J. Devlin,Some weak versions of large cardinal axioms, Ann. Math. Logic5 (1973), 291–325.

   Article  MATH  MathSciNet  Google Scholar 

5. C. A. Di Prisco and W. Marek,Some aspects of the theory of large cardinals, inMathematical Logic and Formal Systems (L. P. de Alcantara, ed.), Lecture Notes in Pure and Applied Mathematics 94, Dekker, New York, 1985, pp. 87–139.

   Google Scholar 

6. Q. Feng,On weakly stationary sets, Proc. Am. Math. Soc.105 (1989), 727–735.

   Article  MATH  Google Scholar 

7. M. Gitik, Nonsplitting subset of\(\mathcal{P}_k \left( {k^ + } \right),\) J. Symbolic Logic50 (1985), 881–894.

   Article  MATH  MathSciNet  Google Scholar 

8. J. Gregory,Higher Souslin trees and the generalized continuum hypothesis, J. Symbolic Logic41 (1976), 663–671.

   Article  MATH  MathSciNet  Google Scholar 

9. T. J. Jech,Some combinatorial problems concerning uncountable cardinals, Ann. Math. Logic5 (1973), 165–198.

   Article  MATH  MathSciNet  Google Scholar 

10. R. B. Jensen,The fine structure of the constructible hierarchy, Ann. Math. Logic4 (1972), 229–308.

    Article  MATH  MathSciNet  Google Scholar 

11. D. Kueker,Countable approximations and Löwenheim-Skolem theorems, Ann. Math. Logic11 (1977), 57–103.

    Article  MATH  MathSciNet  Google Scholar 

12. K. Kunen,Set Theory, North-Holland, Amsterdam, 1980.

    MATH  Google Scholar 

13. M. Magidor,Representing sets of ordinals as countable unions of sets in the core model, Trans. Am. Math. Soc.317 (1990), 91–126.

    Article  MATH  MathSciNet  Google Scholar 

14. P. Matet,Partitions and Diamond, Proc. Am. Math. Soc.97 (1986), 133–135.

    Article  MATH  MathSciNet  Google Scholar 

15. P. Matet,On diamond sequences, Fund. Math.131 (1988), 35–44.

    MATH  MathSciNet  Google Scholar 

16. P. Matet, Concerning stationary subsets of\(\left[ \lambda \right]^{< k} ,\) inSet Theory and its Applications (J. Steprāns and S. Watson, eds.), Lecture Notes in Mathematics1401, Springer, Berlin, 1989, pp. 119–127.

    Chapter  Google Scholar 

17. T. K. Menas,On strong compactness and supercompactness, Ann. Math. Logic7 (1974), 327–359.

    Article  MathSciNet  Google Scholar 

18. S. Shelah,On successors of singular cardinals, inLogic Colloquium 78 (M. Boffa, D. van Dalen and K. Mc Aloon, eds.), North-Holland, Amsterdam, 1979, pp. 357–380.

    Google Scholar 

19. S. Shelah,Proper Forcing, Lecture Notes in Mathematics940, Springer, Berlin, 1982.

    MATH  Google Scholar 

20. S. Shelah,More on stationary coding, inAround Classification Theory of Models, Lecture Notes in Mathematics1182, Springer, Berlin, 1986, pp. 224–246.

    Chapter  Google Scholar 

21. S. Shelah,Cardinal arithmetic for skeptics, Bull. Am. Math. Soc.26 (1992), 197–210.

    MATH  Google Scholar 

22. C. I. Steinhorn and J. H. King, The uniformization property for ℵ₂, Isr. J. Math.36 (1980), 248–256.

    Article  MATH  MathSciNet  Google Scholar 

23. N. H. Williams,Combinatorial Set Theory, Studies in Logic and the Foundations of Mathematics 91, North-Holland, Amsterdam, 1977.

    MATH  Google Scholar 

Download references