Skip to main content Accessibility help
×
Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-30T20:43:18.929Z Has data issue: false hasContentIssue false

Some Remarks on the Maximality of Inner Models

Published online by Cambridge University Press:  31 March 2017

Philip D. Welch
Affiliation:
Kobe University
Samuel R. Buss
Affiliation:
University of California, San Diego
Petr Hájek
Affiliation:
Academy of Sciences of the Czech Republic, Prague
Pavel Pudlák
Affiliation:
Academy of Sciences of the Czech Republic, Prague
Get access
Type
Chapter
Information
Logic Colloquium '98 , pp. 516 - 540
Publisher: Cambridge University Press
Print publication year: 2000

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. K., Devlin & R.B., Jensen Marginalia to a theorem of Silver in Proc. of Kiel Logic Conference 1974, Lecture Notes in Mathematics, 499, Springer Verlag, Berlin-New York, 1975, 115-142.
2. A.J., Dodd, The Core Model,Lond. Math. Soc. Lecture Notes in Maths, 61, CUP, 1982.Google Scholar
3. H-D., Donder, R.B., Jensen, & B.J., Koppelberg, Some applications of the Core Model, in Set Theory and Model Theory, Springer Lecture Notes in Maths., 872, 1981, 55-97.Google Scholar
4. H-D., Donder & P., Koepke, On the Consistency strength of ‘accessible’ Jónsson cardinals and of the weak Chang conjecture,Annals of Pure&Applied Logic, 25 (1983), 233-261.Google Scholar
5. R.B., Jensen, The Fine Structure of the Constructible Hierarchy, in Annals of Mathematical Logic, 4, (1972), 229-308.Google Scholar
6. R.B., Jensen, The Core Model for Measures of Order Zero, circulated manuscript, 1989.
7. R.B., Jensen, Non-overlapping Extenders, circulated manuscript, 199?.
8. R.B., Jensen, Some remarks on below O π, circulated manuscript.
9. R.B., Jensen & J., Vickers, Absoluteness of Jónsson Cardinals, accepted for the J.Symbolic Logic.
10. R.B., Jensen & M., Zeman, Smooth categories and global, submitted to Annals of Pure & Applied Logic.
11. A., Kanamori, The Higher Infinite, Perspectives inMathematical Logic, 1994, Springer Verlag, Berlin.
12. P., Koepke, Some applications of short core models, in Annals of Pure & Applied Logic 37, (1988), 179-204.Google Scholar
13. K., Kunen, Elementary Embeddings and Infinitary Combinatorics, in J. of Symbolic Logic 36, (1971), 407-413.Google Scholar
14. A., Miller, Some Interesting Problems, in Set Theory of the Reals, Ed. H., Judah, Israeli Mathematical Conference Proceedings, 6, 1993, 645-654, Amer.Math. Soc. or http://www.math.wisc.edu/ miller
15. W.J., Mitchell, Ramsey cardinals and Constructibility, in J. of Symbolic Logic, 44, 1979, 260-266.Google Scholar
16. W.J., Mitchell, Jónsson Cardinals, Erdʺos Cardinals, and the Core Model submitted to the J. for Symbolic Logic.
17. W.J., Mitchell & E., Schimmerling, Weak Covering without countable closure, Math. Res. Lett. 2 (1995), 595-609.
18. W.J., Mitchell, E., Schimmerling, & J.R., Steel, The Covering Lemma up to a Woodin cardinal, Annals of Pure & Applied Logic, 84, (1997), 219-255.Google Scholar
19. W.J., Mitchell & J.R., Steel, Fine Structure and Iteration Trees, Springer Lecture Notes in Logic, 3 Springer Verlag, 1994.
20. E., Schimmerling, holds in L[E], submitted to the J. of Symbolic Logic.
21. E., Schimmerling, & J.R., Steel, On theMaximality of the CoreModel. to appear in the Trans. of Amer. Math. Soc.
22. S., Shelah, Cardinal Arithmetic, Oxford Logic Guides 29, (1994), OUP.
23. J.R., Steel, The Core Model Iterability Problem, Springer Lecture Notes in Logic, 8 Springer Verlag, 1996.
24. J.R., Steel & P.D., Welch, σ1 3-Absoluteness and the Second Uniform Indiscernible, in Israeli J. of Math. 104 (1998), 157-190.Google Scholar
25. A., Suzuki, Submitted to the J. of Symbolic Logic.
26. J., Vickers & P.D., Welch, Elementary Embeddings of a submodel into the Universe, submitted to the J.Symbolic Logic.
27. J., Vickers & P.D., Welch, On Successors of Jónsson cardinals, to appear in the Archive forMathematical Logic.
28. P.D., Welch, Combinatorial principles in the Core Model, D.Phil. thesis, Oxford 1979.
29. D., Wylie, Ph.D. thesis, MIT., 1990.
30. M., Zeman, Global below O π, in preparation.
31. M., Zeman, Towards μ in Higher Core Models, manuscript, 1998.

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×