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Combinatorial Dichotomies in Set Theory

Published online by Cambridge University Press:  15 January 2014

Stevo Todorcevic
Stevo Todorcevic*
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S 2E4, Canada, and Université Paris 7, CNRS – FRE 3233, 75251 Paris, France, E-mail: stevo@math.utoronto.ca, stevo@math.jussieu.fr
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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.

Type
Research Article
Information
Bulletin of Symbolic Logic , Volume 17 , Issue 1 , March 2011 , pp. 1 - 72
Copyright
Copyright © Association for Symbolic Logic 2011

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References

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