Lukas Schembecker

collaborators

3 papers

math.LO2026

Productivity of maximal eventually different families

Lukas Schembecker

A maximal eventually different family is called $n$ -productive if the product family $F^{n}$ is still maximal. We construct closed $n$ -productive families separating these…

math.LO2026

Coanalytic families of functions

Julia Millhouse, Lukas Schembecker

For Van Douwen families, maximal families of eventually different permutations and maximal ideal independent families we show that the existence of a $I^£_{2}^{1}$ family implies the ex…

math.LO2025

Van Douwen and many non Van Douwen families

Lukas Schembecker

We prove that the spectrum of Van Douwen families is closed under singular limits. For any maximal eventually different family Raghavan defined in an associated ideal which measure…