26 citations · 40 across the 6 of their papers we have counts for
6 papers
Coloring the -smooth numbers with colors
Andrés Eduardo Caicedo, Thomas A. C. Chartier, Péter Pál Pach
For which values of can we color the positive integers with precisely colors in such a way that for any , the numbers all get different colors? Pach pose…
Of puzzles and partitions: Introducing Partiti
Andrés Eduardo Caicedo, Brittany Shelton
We introduce Partiti, the puzzle that will run in Mathematics Magazine in 2018, and use the opportunity to recall some basic properties of integer partitions.
Inner-model reflection principles
Neil Barton, Andrés Eduardo Caicedo, Gunter Fuchs +3
We introduce and consider the inner-model reflection principle, which asserts that whenever a statement in the first-order language of set theory is true in the set-theoreti…
Topological Ramsey numbers and countable ordinals
Andrés Eduardo Caicedo, Jacob Hilton
We study the topological version of the partition calculus in the setting of countable ordinals. Let and be ordinals and let be a positive integer. We write $β\to_{top}…
Square principles in Pmax extensions
Andrés Eduardo Caicedo, Paul Larson, Grigor Sargsyan +3
By forcing with over strong models of determinacy, we obtain models where different square principles at and fail. In particular, we obtain a mod…
Downward transference of mice and universality of local core models
Andrés Eduardo Caicedo, Martin Zeman
If M is a proper class inner model of ZFC and omega_2^M=omega_2, then every sound mouse projecting to omega and not past 0-pistol belongs to M. In fact, under the assumption that 0…