Ramsey theory is a dynamic area of combinatorics that has various applications in analysis, ergodic theory, logic, number theory, probability theory, theoretica

Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathema

Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.

This book takes the reader on a journey through Ramsey theory, from graph theory and combinatorics to set theory to logic and metamathematics. Written in an inf

This book lays the foundations for an exciting new area of research in descriptive set theory. It develops a robust connection between two active topics: forcin