1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CO2014
A Combinatorial proof of an Infinite version of the Hales-Jewett theorem
Nikolaos Karagiannis
We provide a combinatorial proof of an infinite extension of the Hales--Jewett theorem due to T. Carlson and independently due to H. Furstenberg and Y. Katznelson
math.CO2012★ 1 cited
Combinatorial proofs of Infinite versions of the Hales-Jewett theorem
Nikolaos Karagiannis
We provide new and purely combinatorial proofs of two infinite extensions of the Hales--Jewett theorem. The first one is due to T. Carlson and S. Simpson and the second one is due…
math.CO2010
A density version of the Halpern-Läuchli theorem
Pandelis Dodos, Vassilis Kanellopoulos, Nikolaos Karagiannis
We prove a density version of the Halpern-Läuchli Theorem. This settles in the affirmative a conjecture of R. Laver. Specifically, let us say that a tree is homogeneous if …