Carlos Uzcátegui

activity

20112022

collaborators

3 papers

math.GN2022

On the Polishness of the inverse semigroup $Γ (X)$ on a compact metric space $X$

Jerson Pérez, Carlos Uzcátegui

Let $Γ (X)$ be the inverse semigroup of partial homeomorphisms between open subsets of a compact metric space $X$ . There is a topology, denoted $τ_{h co}$ , that makes $Γ (X)$ a topolo…

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…

On the Polishness of the inverse semigroup Γ(X) on a compact metric space X

Reconstruction of a coloring from its homogeneous sets

On topological properties of families of finite sets

On the Polishness of the inverse semigroup $Γ (X)$ on a compact metric space $X$