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- Tel Aviv UniversityIL388 papers
- Centre National de la Recherche ScientifiqueFR320 papers
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16 papers · 2 filters
Club does not imply the existence of a Suslin tree
Mirna Džamonja, Saharon Shelah
We prove that club does not imply the existence of a Suslin tree, so answering a question of I. Juhasz.
Chains of End Elementary Extensions of Models of Set Theory
Andres Villaveces
Large cardinals arising from the existence of arbitrarily long end elementary extension chains over models of set theory are studied here. In particular, we show that the large car…
Further cardinal arithmetic
Saharon Shelah
We continue the investigations in the author's book on cardinal arithmetic, assuming some knowledge of it. We deal with the cofinality of (S_{<= aleph_0}(kappa), subseteq) for kapp…
On sigma-entangled linear orders
Saharon Shelah
We investigate sigma-entangled linear orders and narrowness of Boolean algebras. We show existence of sigma-entangled linear orders in many cardinals, and we build Boolean algebras…
DOP and FCP in generic structures
John T. Baldwin, Saharon Shelah
Spencer and Shelah [ShSp:304] constructed for each irrational alpha between 0 and 1 the theory T^alpha as the almost sure theory of random graphs with edge probability n^{- alpha}.…
Randomness and semigenericity
John T. Baldwin, Saharon Shelah
Let L contain only the equality symbol and let L^+ be an arbitrary finite symmetric relational language containing L . Suppose probabilities are defined on finite L^+ structures wi…