Combinatorial dichotomies in set theory

Bulletin of Symbolic Logic 17 (1):1-72 (2010)
We give an overview of a research line concentrated on finding to which extent compactness fails at the level of first uncountable cardinal and to which extent it could be recovered on some other perhaps not so large cardinal. While this is of great interest to set theorists, one of the main motivations behind this line of research is in its applicability to other areas of mathematics. We give some details about this and we expose some possible directions for further research
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Reprint years 2011
DOI 10.2178/bsl/1294186662
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,126
Through your library
References found in this work BETA
The Fine Structure of the Constructible Hierarchy.R. Björn Jensen - 1972 - Annals of Mathematical Logic 4 (3):229-308.
Characterization of □Κin Core Models.Ernest Schimmerling & Martin Zeman - 2004 - Journal of Mathematical Logic 4 (01):1-72.
PFA Implies ADL(R).John R. Steel - 2005 - Journal of Symbolic Logic 70 (4):1255 - 1296.
Analytic Ideals and Their Applications.Sławomir Solecki - 1999 - Annals of Pure and Applied Logic 99 (1-3):51-72.

View all 13 references / Add more references

Citations of this work BETA
P-Ideal Dichotomy and Weak Squares.Dilip Raghavan - 2013 - Journal of Symbolic Logic 78 (1):157-167.
Why Y-C.C.David Chodounský & Jindřich Zapletal - 2015 - Annals of Pure and Applied Logic 166 (11):1123-1149.

Add more citations

Similar books and articles
The Combinatorial Principle $\Diamond^\Sharp$.Keith J. Devlin - 1982 - Journal of Symbolic Logic 47 (4):888 - 899.
Power-Like Models of Set Theory.Ali Enayat - 2001 - Journal of Symbolic Logic 66 (4):1766-1782.
Notes on Logic and Set Theory.P. T. Johnstone - 1987 - Cambridge University Press.
Issues in Commonsense Set Theory.Mujdat Pakkan & Varol Akman - 1995 - Philosophical Explorations.
Nonstandard Set Theory.Peter Fletcher - 1989 - Journal of Symbolic Logic 54 (3):1000-1008.
A Model-Theoretic Approach to Ordinal Analysis.Jeremy Avigad & Richard Sommer - 1997 - Bulletin of Symbolic Logic 3 (1):17-52.
Primitive Independence Results.Harvey Friedman - 2003 - Journal of Mathematical Logic 3 (1):67-83.

Monthly downloads

Added to index


Total downloads

17 ( #285,027 of 2,171,881 )

Recent downloads (6 months)

4 ( #76,304 of 2,171,881 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums