Tristan van der Vlugt

activity

20222026

most citedSeparating Many Localisation Cardinals on the Generalised Baire Space

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.LO2026

Topology and category for singular product spaces

Yusuke Hayashi, Tristan van der Vlugt

For $κ$ a regular uncountable cardinal, the higher Baire and Cantor spaces $^{κ} κ$ and $^{κ} 2$ (endowed with the $< κ$ -box topology) have been relatively well-studied, but le…

math.LO2023

Cardinal Characteristics on Bounded Generalised Baire Spaces

Tristan van der Vlugt

We will give an overview of four families of cardinal characteristics defined on subspaces $\prod_{α \in κ} b (α)$ of the generalised Baire space $^{κ} κ$ , where $κ$ is strongly inacces…

math.LO2022★ 1 cited

Separating Many Localisation Cardinals on the Generalised Baire Space

Tristan van der Vlugt

Given a cofinal cardinal function $h \in^{κ} κ$ for $κ$ inaccessible, we consider the dominating $h$ -localisation number, that is, the least cardinality of a dominating set of $h$ -sl…