Stevo Todorcevic

activity

20242026

collaborators

5 papers

math.LO2026

Strong colorings based on oscillations

Stevo Todorcevic, Jing Zhang

We show that for any uncountable cardinal $I^º$ , there is a coloring $c : [I^º]^{2} \to I ¨ $ such that $c^{''} A \otimes B = I ¨ $ for any $A, B \subseteq I^º$ of order type $I ¨ _{1}$ that are stati…

math.LO2026

Square-bracket operations clubs

Osvaldo Guzman, Stevo Todorcevic

This paper continues the investigation of the three square-bracket operations $[\cdot \cdot]$ from chapter 5 of \cite{Walks}. \ We say that a square-bracket operation $[\cdot \cdot]$ …

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 $I ¨ _{1}$ as introduced by the third author by studying their relation with forcing axioms. Formally, we introdu…

math.CO2025

On Big Ramsey degrees of universal $I ¨ $ -edge-labeled hypergraphs

Jan HubiÄka, MatÄj KoneÄnÃ½, Stevo Todorcevic +1

We show that the big Ramsey degrees of every countable universal $u$ -uniform $I ¨ $ -edge-labeled hypergraph are infinite for every $u \geq 2$ . Together with a recent result of Braunfe…

math.LO2024

Higher Dimensional Chain Conditions