4 papers
A rank function for Fra\"ıssé classes and the rank property
Carlos López-Callejas, Jareb Navarro-Castillo
Given a hereditary class of finite relational structures, the rank function , introduced by Kubiś and Shelah, measures h…
Diamonds on trees
Osvaldo Guzmán, Carlos López-Callejas
We generalize the diamond principle and its variants using the notion of stationarity in trees introduced by Brodsky in [Brodsky, A. M., A theory of stationary trees and the balanc…
Generalized independence
Fernando Hernández-Hernández, Carlos López-Callejas
We explore different generalizations of the classical concept of independent families on following the study initiated by Fisher and Montoya. We show that under $\diamondsuit^*…
High dimensional sequential compactness
César Corral, Osvaldo Guzmán, Carlos López-Callejas
We give examples of -sequentially compact spaces that are not -sequentially compact under several assumptions. We improve results from Kubis and Szeptycki by building suc…