6 citations · 7 across the 3 of their papers we have counts for
3 papers
math.LO2024
Q-points, selective ultrafilters, and idempotents, with an application to choiceless set theory
David Fernández-Bretón, Jareb Navarro-Castillo, Jesús A. Soria-Rojas
We study ultrafilters from the perspective of the algebra in the Čech-Stone compactification of the natural numbers, and idempotent elements therein. The first two results that we…
math.CO2020★ 1 cited
The adjacent Hindman's theorem for uncountable groups
Lorenzo Carlucci, David J. Fernández-Bretón
Recent results of Hindman, Leader and Strauss and of the second author and Rinot showed that some natural analogs of Hindman's Theorem fail for all uncountable cardinals. Results i…
math.CO2015★ 6 cited
Hindman's Theorem is only a countable phenomenon
David J. Fernández-Bretón
We pursue the idea of generalizing Hindman's Theorem to uncountable cardinalities, by analogy with the way in which Ramsey's Theorem can be generalized to weakly compact cardinals.…