DOIAbstract
AbstractWe give a new characterization of λ-supercompact cardinal κ in terms of (κ,λ)-Solovay pairs. We give some applications of (κ,λ)-Solovay pairs
AbstractWe give a new characterization of λ-supercompact cardinal κ in terms of (κ,λ)-Solovay pairs. We give some applications of (κ,λ)-Solovay pairs
In the first part of this paper, we explore the possibility for a very large cardinal $\kappa$ to ca...
In this paper, we characterize the possible cofinalities of the least λ-strongly compact cardinal.We...
AbstractWe study a normal ideal on Pκ(λ) that is defined in terms of games (of length ω)
AbstractWe give a new characterization of λ-supercompact cardinal κ in terms of (κ,λ)-Solovay pairs....
We provide a model where u(κ)<2κu(κ)<2κ for a supercompact cardinal κ. [10] provides a sketch of how...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
We prove a revised version of Laver's indestructibility theorem which slightly improves over the cla...
AbstractWe say that κ is μ-hypermeasurable (or μ-strong) for a cardinal μ≥κ+ if there is an embeddin...
We produce, relative to a ${\sf ZFC}$ model with a supercompact cardinal, a ${\sf ZFC}$ model of the...
AbstractWe prove some basic properties of p-bounded subsets (p∈ω∗) in terms of z-ultrafilters and fa...
AbstractAs applications of productivity of coreflective classes of topological spaces, the following...
AbstractI use generic embeddings induced by generic normal measures on Pκ(λ) that can be forced to e...
We prove the consistency of: for suitable strongly inaccessible cardinal lambda the dominating numbe...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that t...
In the first part of this paper, we explore the possibility for a very large cardinal $\kappa$ to ca...
In this paper, we characterize the possible cofinalities of the least λ-strongly compact cardinal.We...
AbstractWe study a normal ideal on Pκ(λ) that is defined in terms of games (of length ω)
AbstractWe give a new characterization of λ-supercompact cardinal κ in terms of (κ,λ)-Solovay pairs....
We provide a model where u(κ)<2κu(κ)<2κ for a supercompact cardinal κ. [10] provides a sketch of how...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
We prove a revised version of Laver's indestructibility theorem which slightly improves over the cla...
AbstractWe say that κ is μ-hypermeasurable (or μ-strong) for a cardinal μ≥κ+ if there is an embeddin...
We produce, relative to a ${\sf ZFC}$ model with a supercompact cardinal, a ${\sf ZFC}$ model of the...
AbstractWe prove some basic properties of p-bounded subsets (p∈ω∗) in terms of z-ultrafilters and fa...
AbstractAs applications of productivity of coreflective classes of topological spaces, the following...
AbstractI use generic embeddings induced by generic normal measures on Pκ(λ) that can be forced to e...
We prove the consistency of: for suitable strongly inaccessible cardinal lambda the dominating numbe...
summary:We shall show that there is an ultrafilter on singular $\kappa$ with countable cofinality, w...
AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that t...
In the first part of this paper, we explore the possibility for a very large cardinal $\kappa$ to ca...
In this paper, we characterize the possible cofinalities of the least λ-strongly compact cardinal.We...
AbstractWe study a normal ideal on Pκ(λ) that is defined in terms of games (of length ω)
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