Add to ORKGWe prove that in a Prikry generic extension for a measure U on κ every subset of the measurable cardinal κ in the Prikry extension is constructibly equivalent, over the ground model, to a subsequence of the Prikry sequence
In this paper, we show that for each forcing notion P in a transitive model M of ZFC, if P satisfies...
1. A set A is enumeration reducible to a set B (A ≤e B), if there is a c.e. set Φ such that n ∈ A ⇔ ...
It is shown that, for any nonzero σ-finite translation invariant (translation quasi-invariant) measu...
AbstractI use generic embeddings induced by generic normal measures on Pκ(λ) that can be forced to e...
AbstractIf κ is measurable, Prikry's forcing adds a sequence of ordinals of order type ω cofinal in ...
Abstract. Recently, Gitik, Kanovei and the first author proved that for a classical Prikry forcing e...
summary:The paper contains a self-contained alternative proof of my Theorem in Characterization of g...
A subset of a topological space is said to be universally measurable if it is measured by the comple...
The partition property for measures on Pℋλ was formulated by analogy with a property which Rowbottom...
Abstract. We construct a model in which the singular cardinal hypothesis fails at ℵω. We use charact...
If $U$ is a normal ultrafilter on a measurable cardinal $\kappa$, then the intersection of the $\ome...
AbstractWe show that in dimension 1 the approximate and Clarke subgradients can differ at most on a ...
AbstractWe consider Radon measures μ and pairs (κ,λ) of cardinals such that among every κ many posit...
It is a well-known phenomenon in set theory that problems in in- finite combinatorics involving sing...
The presented work contains the history of origin of measure, its connection with measurable cardina...
In this paper, we show that for each forcing notion P in a transitive model M of ZFC, if P satisfies...
1. A set A is enumeration reducible to a set B (A ≤e B), if there is a c.e. set Φ such that n ∈ A ⇔ ...
It is shown that, for any nonzero σ-finite translation invariant (translation quasi-invariant) measu...
AbstractI use generic embeddings induced by generic normal measures on Pκ(λ) that can be forced to e...
AbstractIf κ is measurable, Prikry's forcing adds a sequence of ordinals of order type ω cofinal in ...
Abstract. Recently, Gitik, Kanovei and the first author proved that for a classical Prikry forcing e...
summary:The paper contains a self-contained alternative proof of my Theorem in Characterization of g...
A subset of a topological space is said to be universally measurable if it is measured by the comple...
The partition property for measures on Pℋλ was formulated by analogy with a property which Rowbottom...
Abstract. We construct a model in which the singular cardinal hypothesis fails at ℵω. We use charact...
If $U$ is a normal ultrafilter on a measurable cardinal $\kappa$, then the intersection of the $\ome...
AbstractWe show that in dimension 1 the approximate and Clarke subgradients can differ at most on a ...
AbstractWe consider Radon measures μ and pairs (κ,λ) of cardinals such that among every κ many posit...
It is a well-known phenomenon in set theory that problems in in- finite combinatorics involving sing...
The presented work contains the history of origin of measure, its connection with measurable cardina...
In this paper, we show that for each forcing notion P in a transitive model M of ZFC, if P satisfies...
1. A set A is enumeration reducible to a set B (A ≤e B), if there is a c.e. set Φ such that n ∈ A ⇔ ...
It is shown that, for any nonzero σ-finite translation invariant (translation quasi-invariant) measu...