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math.CO2011★ 4 cited
Dense subsets of products of finite trees
Pandelis Dodos, Vassilis Kanellopoulos, Konstantinos Tyros
We prove a "uniform" version of the finite density Halpern-Läuchli Theorem. Specifically, we say that a tree is homogeneous if it is uniquely rooted and there is an integer $b\…
math.CO2011
Measurable events indexed by trees
Pandelis Dodos, Vassilis Kanellopoulos, Konstantinos Tyros
A tree is said to be homogeneous if it is uniquely rooted and there exists an integer , called the branching number of , such that every has exactly im…