Combinatorial dichotomies in set theory
Todorcevic, Stevo
Bull. Symbolic Logic, Tome 17 (2011) no. 1, p. 1-72 / Harvested from Project Euclid
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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.
Publié le : 2011-03-15
Classification:  
@article{1294186662,
     author = {Todorcevic, Stevo},
     title = {Combinatorial dichotomies in set theory},
     journal = {Bull. Symbolic Logic},
     volume = {17},
     number = {1},
     year = {2011},
     pages = { 1-72},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1294186662}
}

Todorcevic, Stevo. Combinatorial dichotomies in set theory. Bull. Symbolic Logic, Tome 17 (2011) no. 1, pp.  1-72. http://gdmltest.u-ga.fr/item/1294186662/