11 citations · 35 across the 26 of their papers we have counts for
3 papers · 2 filters
The determined property of Baire in reverse math
Eric P. Astor, Damir Dzhafarov, Antonio Montalbán +2
We define the notion of a determined Borel code in reverse math, and consider the principle , which states that every determined Borel set has the property of Baire. We show t…
The reverse mathematics of Hindman's theorem for sums of exactly two elements
Barbara F. Csima, Damir D. Dzhafarov, Denis R. Hirschfeldt +3
Hindman's Theorem (HT) states that for every coloring of with finitely many colors, there is an infinite set such that all nonempty sums of dist…
Ramsey's theorem and products in the Weihrauch degrees
Damir D. Dzhafarov, Jun Le Goh, Denis R. Hirschfeldt +2
We study the positions in the Weihrauch lattice of parallel products of various combinatorial principles related to Ramsey's theorem. Among other results, we obtain an answer to a…