AbstractWe study various partition properties on Pκ(λ). Our main result asserts that if λ<λ<κ=λ<κ, then (p(NShκ,λ<κ))+→(NSSκ,λ+)2, where p:Pκ(λ<κ)→Pκ(λ) is defined by p(x)=x∩λ
In this paper we will define a cardinal invariant corresponding to the independence number for parti...
AbstractUsing previous work of Baumgartner, Shelah and others, we describe, for each infinite cardin...
If κ < λ are such that κ is both supercompact and indestructible under κ-directed closed forcing ...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
International audienceWe investigate some natural combinatorial principles related to the notion of ...
International audienceWe investigate some natural combinatorial principles related to the notion of ...
International audienceWe investigate some natural combinatorial principles related to the notion of ...
Suppose κ is a supercompact cardinal and λ≥κ. In [3], we studied the relationship between the weak p...
AbstractThis paper investigates the relations κ+ → (α)22 and its variants for uncountable cardinals ...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
AbstractWe give a new characterization of λ-supercompact cardinal κ in terms of (κ,λ)-Solovay pairs....
1 Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the lea...
In this paper we will define a cardinal invariant corresponding to the independence number for parti...
AbstractUsing previous work of Baumgartner, Shelah and others, we describe, for each infinite cardin...
If κ < λ are such that κ is both supercompact and indestructible under κ-directed closed forcing ...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
International audienceWe investigate some natural combinatorial principles related to the notion of ...
International audienceWe investigate some natural combinatorial principles related to the notion of ...
International audienceWe investigate some natural combinatorial principles related to the notion of ...
Suppose κ is a supercompact cardinal and λ≥κ. In [3], we studied the relationship between the weak p...
AbstractThis paper investigates the relations κ+ → (α)22 and its variants for uncountable cardinals ...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
AbstractWe give a new characterization of λ-supercompact cardinal κ in terms of (κ,λ)-Solovay pairs....
1 Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the lea...
In this paper we will define a cardinal invariant corresponding to the independence number for parti...
AbstractUsing previous work of Baumgartner, Shelah and others, we describe, for each infinite cardin...
If κ < λ are such that κ is both supercompact and indestructible under κ-directed closed forcing ...