Authors: Todorčević, Stevo 
Title: Combinatorial dichotomies in set theory
Journal: Bulletin of Symbolic Logic
Volume: 17
Issue: 1
First page: 1
Last page: 72
Issue Date: 1-Mar-2011
Rank: M21
ISSN: 1079-8986
DOI: 10.2178/bsl/1294186662
Abstract: 
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.
Publisher: Cambridge University Press

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