AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that there is no λ-set of maximal size and that in the absence of inaccessible cardinals there is a λ-set of maximal size
If κ < λ are such that κ is a strong cardinal whose strongness is indestructible under κ-strategi...
AbstractComfort and Hager investigate the notion of a maximal realcompact space and ask about the re...
Abstract. An inaccessible cardinal κ is supercompact when (κ, λ)-ITP holds for all λ ≥ κ. We prove t...
AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that t...
Suppose λ> κ is measurable. We show that if κ is either indestructibly supercompact or indestruct...
AbstractWe study various aspects of the size, including the cardinality, of closed unbounded subsets...
Abstract. We prove that o() = is sucient to construct a model V [C] in which is measurable and C...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
The presented work contains the history of origin of measure, its connection with measurable cardina...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
1 Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the lea...
AbstractWe show relative to strong hypotheses that patterns of compact cardinals in the universe, wh...
AbstractThe paper investigates inaccessible set axioms and their consistency strength in constructiv...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
We show the relative consistency of the existence of two strongly compact cardinals κ1 and κ2 which ...
If κ < λ are such that κ is a strong cardinal whose strongness is indestructible under κ-strategi...
AbstractComfort and Hager investigate the notion of a maximal realcompact space and ask about the re...
Abstract. An inaccessible cardinal κ is supercompact when (κ, λ)-ITP holds for all λ ≥ κ. We prove t...
AbstractWe show that, relative to the existence of an inaccessible cardinal, it is consistent that t...
Suppose λ> κ is measurable. We show that if κ is either indestructibly supercompact or indestruct...
AbstractWe study various aspects of the size, including the cardinality, of closed unbounded subsets...
Abstract. We prove that o() = is sucient to construct a model V [C] in which is measurable and C...
International audienceLet κ be a regular uncountable cardinal, and λ be a cardinal greater than κ. O...
The presented work contains the history of origin of measure, its connection with measurable cardina...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
1 Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the lea...
AbstractWe show relative to strong hypotheses that patterns of compact cardinals in the universe, wh...
AbstractThe paper investigates inaccessible set axioms and their consistency strength in constructiv...
The independence phenomenon in set theory, while pervasive, can be partially addressed through the u...
We show the relative consistency of the existence of two strongly compact cardinals κ1 and κ2 which ...
If κ < λ are such that κ is a strong cardinal whose strongness is indestructible under κ-strategi...
AbstractComfort and Hager investigate the notion of a maximal realcompact space and ask about the re...
Abstract. An inaccessible cardinal κ is supercompact when (κ, λ)-ITP holds for all λ ≥ κ. We prove t...