Abstract topological Ramsey theory for nets

Local Ramsey theory: an abstract approach

Given a topological Ramsey space (R,≤, r), we extend the notion of semiselective coideal to sets H ⊆ R and study conditions for H that will enable us to make the structure (R,H,≤, r) a Ramsey space (not necessarily topological) and also study forcing notions related to H which will satisfy abstract versions of interesting properties of the corresponding forcing notions in the realm of Ellentuck...

Abstract Approach to Ramsey Theory and Fouché’s Ramsey Theorem for Trees

APPROACH TO RAMSEY THEORY AND FOUCHÉ’S RAMSEY THEOREM FOR TREES

Abstract Approach to Ramsey Theory and Ramsey Theorems for Finite Trees

APPROACH TO RAMSEY THEORY AND RAMSEY THEOREMS FOR FINITE TREES

Abstract Approach to Finite Ramsey Theory and a Self-dual Ramsey Theorem

APPROACH TO FINITE RAMSEY THEORY AND A SELF-DUAL RAMSEY THEOREM

Ramsey Theory