Add to ORKGAbstract. We prove some results related to the problem of blowing up the power set of the least measurable cardinal. Our forcing results improve those of [1] by using the optimal hypothesis. 1
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
There have been numerous results showing that a measurable car-dinal κ can carry exactly α normal me...
Abstract. This paper discusses models of set theory without the Axiom of Choice. We investigate all ...
The presented work contains the history of origin of measure, its connection with measurable cardina...
AbstractThe equiconsistency of a measurable cardinal with Mitchell order o(κ)=κ++ with a measurable ...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
Let M be a set of positive integers. A set S of nonnegative integers is called an M‐set if a and b∈S...
During the Fall Semester of 1987, Stevo Todorcevic gave a series of lectures at the University of Co...
AbstractI use generic embeddings induced by generic normal measures on Pκ(λ) that can be forced to e...
This paper discusses models of set theory without the Axiom of Choice. We investigate all possible p...
1 Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the lea...
Optimization—minimization or maximization—in the lattice of subsets is a frequent operation in Artif...
This thesis provides a number of examples of changing cofinalities of cardinals using forcing. The m...
Optimization—minimization or maximization—in the lattice of subsets is a frequent operation in Artif...
AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that t...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
There have been numerous results showing that a measurable car-dinal κ can carry exactly α normal me...
Abstract. This paper discusses models of set theory without the Axiom of Choice. We investigate all ...
The presented work contains the history of origin of measure, its connection with measurable cardina...
AbstractThe equiconsistency of a measurable cardinal with Mitchell order o(κ)=κ++ with a measurable ...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
Let M be a set of positive integers. A set S of nonnegative integers is called an M‐set if a and b∈S...
During the Fall Semester of 1987, Stevo Todorcevic gave a series of lectures at the University of Co...
AbstractI use generic embeddings induced by generic normal measures on Pκ(λ) that can be forced to e...
This paper discusses models of set theory without the Axiom of Choice. We investigate all possible p...
1 Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the lea...
Optimization—minimization or maximization—in the lattice of subsets is a frequent operation in Artif...
This thesis provides a number of examples of changing cofinalities of cardinals using forcing. The m...
Optimization—minimization or maximization—in the lattice of subsets is a frequent operation in Artif...
AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that t...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
There have been numerous results showing that a measurable car-dinal κ can carry exactly α normal me...
Abstract. This paper discusses models of set theory without the Axiom of Choice. We investigate all ...