Skip to main content Accessibility help
×
Home
Hostname: page-component-559fc8cf4f-8sgpw Total loading time: 0.285 Render date: 2021-03-01T04:29:38.589Z Has data issue: true Feature Flags: { "shouldUseShareProductTool": true, "shouldUseHypothesis": true, "isUnsiloEnabled": true, "metricsAbstractViews": false, "figures": false, "newCiteModal": false, "newCitedByModal": true }

The combinatorics of combinatorial coding by a real

Published online by Cambridge University Press:  12 March 2014

Saharon Shelah
Affiliation:
Department of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel, E-mail: shelah@sunrise.huji.ac.il Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903, E-mail: shelah@math.rutgers.edu
Lee J. Stanley
Affiliation:
Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015, E-mail: ljs4@lehigh.edu

Abstract

We lay the combinatorial foundations for [5] by setting up and proving the essential properties of the coding apparatus for singular cardinals. We also prove another result concerning the coding apparatus for inaccessible cardinals.

Type
Research Article
Copyright
Copyright © Association for Symbolic Logic 1995

Access options

Get access to the full version of this content by using one of the access options below.

References

[1]Beller, A., Jensen, R., and Welch, P., Coding the universe, London Mathematical Society Lecture Notes Series, vol. 47, Cambridge University Press, Cambridge, 1982.CrossRefGoogle Scholar
[2]Donder, H.-D., Jensen, R., and Stanley, L., Condensation-coherent global square systems, Recursion theory, Proceedings of Symposia in Pure Mathematics, vol. 42, (Nerode, A. and Shore, R., editors), American Mathematical Society, Providence, Rhode Island, 1985, pp. 237259.CrossRefGoogle Scholar
[3]Jensen, R., The fine structure of the constructible hierarchy, Annals of Mathematical Logic, vol. 4 (1972), pp. 229308.CrossRefGoogle Scholar
[4]Shelah, S. and Stanley, L., Coding and reshaping when there are no sharps, Set theory of the continuum, Mathematical Sciences Research Institute Publications, vol. 26, (Judah, H.et al., editors), Springer-Verlag, Berlin, 1992, pp. 407416.CrossRefGoogle Scholar
[5]Shelah, S. and Stanley, L., A combinatorial forcing for coding the universe by a real when there are no sharps, this Journal, vol. 60 (1994), pp. 135.Google Scholar

Full text views

Full text views reflects PDF downloads, PDFs sent to Google Drive, Dropbox and Kindle and HTML full text views.

Total number of HTML views: 0
Total number of PDF views: 5 *
View data table for this chart

* Views captured on Cambridge Core between September 2016 - 1st March 2021. This data will be updated every 24 hours.

Send article to Kindle

To send this article to your Kindle, first ensure no-reply@cambridge.org 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 sending to your Kindle. Find out more about sending to your Kindle.

Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent 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.

The combinatorics of combinatorial coding by a real
Available formats
×

Send article to Dropbox

To send this article to your Dropbox account, please select one or more formats and 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 <service> account. Find out more about sending content to Dropbox.

The combinatorics of combinatorial coding by a real
Available formats
×

Send article to Google Drive

To send this article to your Google Drive account, please select one or more formats and 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 <service> account. Find out more about sending content to Google Drive.

The combinatorics of combinatorial coding by a real
Available formats
×
×

Reply to: Submit a response


Your details


Conflicting interests

Do you have any conflicting interests? *