P. Matet

activity

20022023

most citedPositive partition relations for P_{kappa,lambda}

2 citations · 3 across the 11 of their papers we have counts for

collaborators

11 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.

math.LO2023

The pcf theory of non fixed points

Pierre Matet

We deal with values taken by various pseudopower functions at a singular cardinal that is not a fixed point of the aleph function.

math.LO2019

Towers and clubs

Pierre Matet

We revisit several results concerning club principles and nonsaturation of the nonstationary ideal, attempting to improve them in various ways. So we typically deal with a (non nec…

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

The pcf theory of non fixed points

Towers and clubs

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

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