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Literature

Books for further reading:


Handbook of set theory

Foreman, Kanamori: Handbook of Set Theory

Introduction to set theory

Ernest Schimmerling: A course on set theory
Kunen: Set Theory
Jech: Set Theory - The Third Millenium Edition, revised and expanded
Kanamori: The Higher Infinite
Schindler: Set Theory - Exploring Independence and Truth
Halbeisen: Combinatorial Set Theory
Bukovsky: The Structure of the Real Line
Jech: The axiom of choice


Introduction to descriptive set theory

Kechris: Classical descriptive set theory
From: Invariant Descriptive Set Theory by Su Gao, 1st edition © 2009 CRC Press. Reproduced by permission of Taylor & Francis Group.
Becker, Kechris: The descriptive set theory of Polish group actions

Introduction to forcing

Kunen: Set theory
Viale: The Forcing Method in Set Theory
Dzamonja: Fast track to forcing
Weaver: Forcing for mathematicians


Research monographs

Todorcevic: Walks on ordinals and their characteristics
Todorcevic: Introduction to Ramsey spaces
From: Cardinal arithmetic by Saharon Shelah, 1st edition © 1994 Clarendon Press. Reproduced with permission of the Licensor through PLSclear.
Bartoszynski, Judah: Set theory: on the structure of the real line
Farah: Combinatorial set theory of C* algebras
Kechris, Miller: Topics in orbit equivalence
Kechris: The theory of countable Borel equivalence relations
Marks, Kechris: Descriptive graph combinatorics
Neeman: The determinacy of long games
Woodin: The axiom of determinacy, forcing axioms, and the nonstationary ideal
Zapletal: Forcing idealized