3 papers
math.LO2026
Square-bracket operations clubs
Osvaldo Guzman, Stevo Todorcevic
This paper continues the investigation of the three square-bracket operations from chapter 5 of \cite{Walks}. \ We say that a square-bracket operation …
math.LO2025
Forcing Axioms and construction schemes
Jorge Antonio Cruz Chapital, Osvaldo Guzman, Stevo Todorcevic
We continue the development of the theory of construction schemes over as introduced by the third author by studying their relation with forcing axioms. Formally, we introduc…
math.GN2023
Infinite dimensional sequential compactness: Sequential compactness based on barriers
Cesar Corral, Osvaldo Guzman, Carlos Lopez-Callejas +3
We introduce a generalization of sequential compactness using barriers on extending naturally the notion introduced in [W. Kubiś and P. Szeptycki, On a topological Ramsey theor…