Riccardo Plati

collaborators

3 papers

math.LO2023

Implications of Ramsey Choice Principles in ZF

Lorenz Halbeisen, Riccardo Plati, Saharon Shelah

The Ramsey Choice principle for families of $n$ -element sets, denoted $RC_{n}$ , states that every infinite set $X$ has an infinite subset $Y \subseteq X$ with a choice functi…

math.LO2021

Four Cardinals and Their Relations in ZF

Lorenz Halbeisen, Riccardo Plati, Salome Schumacher +1

For a set $M$ , $fin (M)$ denotes the set of all finite subsets of $M$ , $M^{2}$ denotes the Cartesian product $M \times M$ , $[M]^{2}$ denotes the set of all $2$ -element sub…

math.LO2021

A New Weak Choice Principle

Lorenz Halbeisen, Riccardo Plati, Salome Schumacher

For every natural number $n$ we introduce a new weak choice principle $nR C_{fin}$ : Given any infinite set $x$ , there is an infinite subset $y \subseteq x$ and a selection f…