10 citations · 13 across the 10 of their papers we have counts for
Showing 2017Show all
2 papers · 1 filter
math.CO2017
A note on Hindman-type theorems for uncountable cardinals
Lorenzo Carlucci
Recent results of Hindman, Leader and Strauss and of Fernández-Bretón and Rinot showed that natural versions of Hindman's Theorem fail {\em for all} uncontable cardinals. On the ot…
math.LO2017
New bounds on the strength of some restrictions of Hindman's Theorem
Lorenzo Carlucci, Leszek Aleksander Kołodziejczyk, Francesco Lepore +1
We prove upper and lower bounds on the effective content and logical strength for a variety of natural restrictions of Hindman's Finite Sums Theorem. For example, we show that Hind…