Pierre Matet

most citedA short tour of Shelah's Revised GCH Theorem

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.LO2023

$μ$ -Clubs of $P_{κ} (λ)$ : Paradise in heaven

Pierre Matet

Let $μ < κ < λ$ be three infinite cardinals, the first two being regular. We show that if there is no inner model with large cardinals, $u (κ, λ)$ is regular, where $u (κ, λ)$ denote…

math.LO2023

Meeting, covering and Shelah's Revised GCH

Pierre Matet

We revisit the application of Shelah's Revised GCH Theorem \cite{SheRGCH} to diamond. We also formulate a generalization of the theorem and prove a small fragment of it. Finally we…

math.LO2023

$μ$ -Clubs OF $P_{κ} (λ)$ : Paradise on earth

Pierre Matet

If $V = L$ , and $μ$ , $κ$ and $λ$ are three infinite cardinals with $μ = cf (μ) < κ = cf (κ) \leq λ$ , then, as shown in \cite{Heaven}, the $μ$ -club filters on $P_{κ} (λ)$ and…

math.LO2023★ 1 cited

A short tour of Shelah's Revised GCH Theorem

Pierre Matet

We consider some of the various formulations of the Revised GCH Theorem presented in Shelah's original paper \cite{SheRGCH}. We compare them and discuss their meaning.

μ-Clubs of Pκ​(λ) : Paradise in heaven

Meeting, covering and Shelah's Revised GCH

μ-Clubs OF Pκ​(λ) : Paradise on earth

A short tour of Shelah's Revised GCH Theorem

$μ$ -Clubs of $P_{κ} (λ)$ : Paradise in heaven

$μ$ -Clubs OF $P_{κ} (λ)$ : Paradise on earth