In this paper we provide a general tool to prove the consistency of with various combinatorial properties at \u3bb typical at settings with 2\u3bb>\u3bb+, that does not need a profound knowledge of the forcing notions involved. Examples of such properties are the first failure of GCH, a very good scale and the negation of the approachability property, or the tree property at \u3bb+ and \u3bb++
International audienceThe article uses two examples to explore the statement that, contrary to the c...
International audienceThe article uses two examples to explore the statement that, contrary to the c...
Abstract. Recently, Gitik, Kanovei and the first author proved that for a classical Prikry forcing e...
In this paper we are concerned about the ways GCH can fail in relation to rank-into-rank hypotheses,...
In the following κ and λ are arbitrary regular uncountable cardinals. What was known? Theorem 1 (Bal...
Abstract. We describe a framework for proving consistency re-sults about singular cardinals of arbit...
Abstract. We describe a framework for proving consistency results about singular cardinals of arbitr...
AbstractIf κ is measurable, Prikry's forcing adds a sequence of ordinals of order type ω cofinal in ...
Abstract. We construct a model in which the singular cardinal hypothesis fails at ℵω. We use charact...
AbstractIn recent work, the second author extended combinatorial principles due to Jech and Magidor ...
We use core model theory to obtain the following lower bounds to the consistency strength for the fa...
Our aim is to show the consistency of 2κ ≥ κ+θ, for any θ < κ starting with a singular cardinal κ...
In this paper we analyze the PCF structure of a generic extension by the main forcing from our previ...
This is a survey about I0 and rank-into-rank axioms, with some previously unpublished proofs
In this paper we analyze the PCF structure of a generic extension by the main forcing from our previ...
International audienceThe article uses two examples to explore the statement that, contrary to the c...
International audienceThe article uses two examples to explore the statement that, contrary to the c...
Abstract. Recently, Gitik, Kanovei and the first author proved that for a classical Prikry forcing e...
In this paper we are concerned about the ways GCH can fail in relation to rank-into-rank hypotheses,...
In the following κ and λ are arbitrary regular uncountable cardinals. What was known? Theorem 1 (Bal...
Abstract. We describe a framework for proving consistency re-sults about singular cardinals of arbit...
Abstract. We describe a framework for proving consistency results about singular cardinals of arbitr...
AbstractIf κ is measurable, Prikry's forcing adds a sequence of ordinals of order type ω cofinal in ...
Abstract. We construct a model in which the singular cardinal hypothesis fails at ℵω. We use charact...
AbstractIn recent work, the second author extended combinatorial principles due to Jech and Magidor ...
We use core model theory to obtain the following lower bounds to the consistency strength for the fa...
Our aim is to show the consistency of 2κ ≥ κ+θ, for any θ < κ starting with a singular cardinal κ...
In this paper we analyze the PCF structure of a generic extension by the main forcing from our previ...
This is a survey about I0 and rank-into-rank axioms, with some previously unpublished proofs
In this paper we analyze the PCF structure of a generic extension by the main forcing from our previ...
International audienceThe article uses two examples to explore the statement that, contrary to the c...
International audienceThe article uses two examples to explore the statement that, contrary to the c...
Abstract. Recently, Gitik, Kanovei and the first author proved that for a classical Prikry forcing e...
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