Tristan van der Vlugt

collaborators

3 papers

math.LO2026

Topology and category for singular product spaces

Yusuke Hayashi, Tristan van der Vlugt

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

math.LO2025

Subseries Numbers for Convergent Subseries

Tristan van der Vlugt

Every conditionally convergent series of real numbers has a subseries that diverges. The subseries numbers, previously studied in arXiv:1801.06206 , answer the question how many su…

math.LO2025

The Horizontal Direction

Tristan van der Vlugt

We give a survey of cardinal charcteristics of the higher CichoÅ diagram defined on the higher Baire space $^{I^} º I^º$ for $I^º$ regular with $2^{< I^º} = I^º$ . Specifically, we will comp…