5 citations · 7 across the 10 of their papers we have counts for
9 papers · 1 filter
Borel chromatic numbers of closed graphs and forcing with uniform trees
Michel Gaspar, Stefan Geschke
In this work, we continue the tradition initiated by Geschke, 2011 of viewing the uncountable Borel chromatic number of analytic graphs as cardinal invariants of the continuum. We…
Scrambled Cantor sets
Stefan Geschke, Jan Grebík, Benjamin D. Miller
We show that Li-Yorke chaos ensures the existence of a scrambled Cantor set.
Separable linear orders and universality
Stefan Geschke
In various places in the literature it is stated that every separable linear order embeds into the real line. This is, however, not the case, at least not with respect to the usual…
The number of openly generated Boolean algebras
Stefan Geschke, Saharon Shelah
This article is devoted to two different generalizations of projective Boolean algebras: openly generated Boolean algebras and tightly sigma-filtered Boolean algebras. We show that…
How to drive our families mad
Sakaé Fuchino, Stefan Geschke, Osvaldo Guzman +1
Given a family of pairwise almost disjoint sets on a countable set , we study maximal almost disjoint (mad) families extending . We define to be the minima…
Remarks on a paper by Juhász and Kunen
Sakae Fuchino, Stefan Geschke
We give an equivalent, but simpler formulation of the axiom SEP introduced by Juhasz and Kunen. Our formulation shows that many of the consequences of the weak Freese-Nation Proper…