3 papers
math.LO2026
Oracle-Tree Forcing and Wilfs Inequality for Thirteen Left Elements
Michel Gaspar
We study filter-Laver forcing on omegaxomega with successor sets containing final quadrants. The observation retaining the minimum coordinate and orientation is a complete projecti…
math.LO2022
Borel chromatic numbers of locally countable graphs and forcing with superperfect trees
Raiean Banerjee, Michel Gaspar
In this work we study the uncountable Borel chromatic numbers, defined by Geschke (2011) as cardinal characteristics of the continuum, of low complexity graphs. We show that a stro…
math.LO2022
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…