Salome Schumacher

collaborators

3 papers

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…

math.LO2021

Some implications of Ramsey Choice for n-element sets

Lorenz Halbeisen, Salome Schumacher

Let $n \in ω$ . The weak choice principle $RC_{n}$ states that for every infinite set $x$ there is an infinite subset $y \subseteq x$ with a choice function on $[y]^n:=\{z…