4 papers
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 …
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…
On Big Ramsey degrees of universal -edge-labeled hypergraphs
Jan Hubička, Matěj Konečný, Stevo Todorcevic +1
We show that the big Ramsey degrees of every countable universal -uniform -edge-labeled hypergraph are infinite for every . Together with a recent result of Braunfel…
Pre-compact families of finite sets of integers and weakly null sequences in Banach spaces
Jordi Lopez Abad, S. Todorcevic
Two applications of Nash-Williams' theory of barriers to sequences on Banach spaces are presented: The first one is the -saturation of , countable compacta. The seco…