Carlos Uzc'ategui

activity

20212026

collaborators

4 papers

math.LO2026

Combinatorics of Ramsey ideals

Julián C. Cano, Carlos A. Di Prisco, Carlos Uzcátegui

We primarily study several combinatorial properties of Ramsey-type ideals on countably infinite sets. Specifically, we show new combinatorial characterizations of Ramsey ideals thr…

math.FA2022

Pathology of submeasures and $F_{σ}$ ideals

Jorge Martínez, David Meza-Alcántara, Carlos Uzcátegui

We address some phenomena about the interaction between lower semicontinuous submeasures on $N$ and $F_{σ}$ ideals. We analyze the pathology degree of a submeasure and prese…

math.GN2021

A topological correspondence between partial actions of groups and inverse semigroup actions

Luis Martínez, Héctor Pinedo, Carlos Uzcátegui

We present some generalizations of the well-known correspondence, found by R. Exel, between partial actions of a group $G$ on a set $X$ and semigroup homomorphism of $S (G)$ on the…

math.LO2021

$F_{σ}$ ideals of perfectly bounded sets

J. Martínez, David Meza-Alcántara, Carlos Uzcátegui

Let $x = (x_{n})_{n}$ be a sequence in a Banach space. A set $A \subseteq N$ is perfectly bounded, if there is $M$ such that $∥ \sum_{n \in F} x_{n} ∥ \leq M$ for every finite $…

Combinatorics of Ramsey ideals

Pathology of submeasures and Fσ​ ideals

A topological correspondence between partial actions of groups and inverse semigroup actions

Fσ​ ideals of perfectly bounded sets

Pathology of submeasures and $F_{σ}$ ideals

$F_{σ}$ ideals of perfectly bounded sets