Carlos Uzcátegui

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20112022

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math.CO2020

Reconstruction of a coloring from its homogeneous sets

Claribet Piña, Carlos Uzcátegui

We study a reconstruction problem for colorings. Given a finite or countable set $X$ , a coloring on $X$ is a function $φ : [X]^{2} \to {0, 1}$ , where $[X]^{2}$ is the collection of…

math.CO2011

On topological properties of families of finite sets

Claribet Piña, Carlos Uzcátegui

We present results about the Cantor-Bendixson index of some subspaces of a uniform family F of finite subsets of natural numbers with respect to the lexicographic order topology. A…