Combinatorial dichotomies in set theory

show that an abstract analysis of one of these three set theoretic principles can sometimes lead us to results that do not require additional axioms at all but which could have been otherwise difficult to discover directly. We have also tried to select examples with as broad range as possible but their choices could still reflect a personal taste. We have therefore included an extensive reference list where the reader can find a more complete view on this area of current research in set theory. Finally we mention that while this article is meant for a larger audience which is typically interested in a general overview, we have tried to make the article also interesting to experts working in this area by including some of the technicalities especially if they appear to us as important tools in this area. For the same reason we will be pointing out a number of possible directions for further research. Our terminology and notation follows that of standard texts of set theory (see, for e...

• Type: Journal
• Year: 2011
• Where: BSL
• Authors: Stevo Todorcevic
• Keywords: Artificial Intelligence, BSL 2011, Singular Cardinals Hypothesis, Strong Structural Assumption, Theory