Add to ORKGAbstract. This paper discusses models of set theory without the Axiom of Choice. We investigate all possible patterns of the cofinality function and the distribution of measurability on the first three uncountable cardinals. The result relies heavily on a strengthening of an unpublished result of Kechris: we prove (under AD) that there is a cardinal κ such that the triple (κ, κ+, κ++) satisfies the strong polarized partition property. 1
Abstract. We describe a framework for proving consistency results about singular cardinals of arbitr...
AbstractIf κ is measurable, Prikry's forcing adds a sequence of ordinals of order type ω cofinal in ...
In this thesis, we present a number of results in combinatorial set theory, especially in Ramsey the...
This paper discusses models of set theory without the Axiom of Choice. We investigate all possible p...
Assuming the existence of a hypermeasurable cardinal, we construct a model of Set Theory with a meas...
This paper investigates the relations K+--t (a): and its variants for uncountable cardinals K. First...
AbstractThis paper investigates the relations κ+ → (α)22 and its variants for uncountable cardinals ...
Assuming the axiom of determinacy, we give a new proof of the strong partition relation on ω1. Furth...
In this paper we study the relationship between AD and strong partition properties of cardinals as w...
Abstract. We describe a framework for proving consistency re-sults about singular cardinals of arbit...
We use core model theory to obtain the following lower bounds to the consistency strength for the fa...
Abstract. If we assume the axiom of choice, then every two cardinal numbers are comparable. In the a...
Suppose λ> κ is measurable. We show that if κ is either indestructibly supercompact or indestruct...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
AbstractWe prove several results giving lower bounds for the large cardinal strength of a failure of...
Abstract. We describe a framework for proving consistency results about singular cardinals of arbitr...
AbstractIf κ is measurable, Prikry's forcing adds a sequence of ordinals of order type ω cofinal in ...
In this thesis, we present a number of results in combinatorial set theory, especially in Ramsey the...
This paper discusses models of set theory without the Axiom of Choice. We investigate all possible p...
Assuming the existence of a hypermeasurable cardinal, we construct a model of Set Theory with a meas...
This paper investigates the relations K+--t (a): and its variants for uncountable cardinals K. First...
AbstractThis paper investigates the relations κ+ → (α)22 and its variants for uncountable cardinals ...
Assuming the axiom of determinacy, we give a new proof of the strong partition relation on ω1. Furth...
In this paper we study the relationship between AD and strong partition properties of cardinals as w...
Abstract. We describe a framework for proving consistency re-sults about singular cardinals of arbit...
We use core model theory to obtain the following lower bounds to the consistency strength for the fa...
Abstract. If we assume the axiom of choice, then every two cardinal numbers are comparable. In the a...
Suppose λ> κ is measurable. We show that if κ is either indestructibly supercompact or indestruct...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
AbstractWe prove several results giving lower bounds for the large cardinal strength of a failure of...
Abstract. We describe a framework for proving consistency results about singular cardinals of arbitr...
AbstractIf κ is measurable, Prikry's forcing adds a sequence of ordinals of order type ω cofinal in ...
In this thesis, we present a number of results in combinatorial set theory, especially in Ramsey the...