Handbook of Set Theory

  • Matthew Foreman
  • Akihiro Kanamori

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Akihiro Kanamori
    Pages 1-92
  3. Thomas Jech
    Pages 93-128
  4. András Hajnal, Jean A. Larson
    Pages 129-213
  5. Stevo Todorcevic
    Pages 215-296
  6. Greg Hjorth
    Pages 297-332
  7. Uri Abraham
    Pages 333-394
  8. Tomek Bartoszynski
    Pages 491-555
  9. Sy D. Friedman
    Pages 557-604
  10. Ralf Schindler, Martin Zeman
    Pages 605-656
  11. Philip D. Welch
    Pages 657-736
  12. Patrick Dehornoy
    Pages 737-774
  13. James Cummings
    Pages 775-883
  14. Matthew Foreman
    Pages 885-1147
  15. Uri Abraham, Menachem Magidor
    Pages 1149-1227
  16. Todd Eisworth
    Pages 1229-1350
  17. Moti Gitik
    Pages 1351-1447
  18. William J. Mitchell
    Pages 1449-1495
  19. William J. Mitchell
    Pages 1497-1594
  20. John R. Steel
    Pages 1595-1684
  21. Ernest Schimmerling
    Pages 1685-1751
  22. Steve Jackson
    Pages 1753-1876
  23. Itay Neeman
    Pages 1877-1950
  24. Peter Koellner, W. Hugh Woodin
    Pages 1951-2119
  25. Paul B. Larson
    Pages 2121-2177
  26. Back Matter
    Pages 2179-2197

About this book


This handbook is the definitive compendium of the methods, results, and current initiatives in modern set theory in all its research directions. Set theory has entered its prime as an advanced and autonomous field of mathematics with foundational significance, and the expanse and variety of this handbook attests to the richness and sophistication of the subject. The chapters are written by acknowledged experts, major research figures in their areas, and they each bring to bear their experience and insights in carefully wrought, self-contained expositions. There is historical depth, elegant development, probing to the frontiers, and prospects for the future. This handbook is essential reading for the aspiring researcher, a pivotal focus for the veteran set theorist, and a massive reference for all those who want to gain a larger sense of the tremendous advances that have been made in the subject, one which first appeared as a foundation of mathematics but in the last several decades has expanded into a broad and far-reaching field with its own self-fueling initiatives.


Arithmetic Combinatorics Continuum Determinacy Equivalence Large Cardinals Lemma cardinals set theory

Editors and affiliations

  • Matthew Foreman
    • 1
  • Akihiro Kanamori
    • 2
  1. 1.School of Physical SciencesUniversity of California, IrvineIrvineU.S.A.
  2. 2.Dept. Manufacturing EngineeringBoston UniversityBostonU.S.A.

Bibliographic information