Higher Topos Theory (AM-170)
Jacob Lurie

Paperback | 2009 | $87.00 | ($60.90) / £60.00 | (£42.00) | ISBN: 9780691140490
944 pp. | 6 x 9
Add to Shopping Cart

eBook | ISBN: 9781400830558 |
Our eBook editions are available from these online vendors

Reviews | Table of Contents
Chapter 1[PDF] pdf-icon

Google full text of this book:

Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory, Jacob Lurie presents the foundations of this theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language. The result is a powerful theory with applications in many areas of mathematics.

The book's first five chapters give an exposition of the theory of infinity-categories that emphasizes their role as a generalization of ordinary categories. Many of the fundamental ideas from classical category theory are generalized to the infinity-categorical setting, such as limits and colimits, adjoint functors, ind-objects and pro-objects, locally accessible and presentable categories, Grothendieck fibrations, presheaves, and Yoneda's lemma. A sixth chapter presents an infinity-categorical version of the theory of Grothendieck topoi, introducing the notion of an infinity-topos, an infinity-category that resembles the infinity-category of topological spaces in the sense that it satisfies certain axioms that codify some of the basic principles of algebraic topology. A seventh and final chapter presents applications that illustrate connections between the theory of higher topoi and ideas from classical topology.


"This book is a remarkable achievement, and the reviewer thinks it marks the beginning of a major change in algebraic topology."--Mark Hovey, Mathematical Reviews

Table of Contents


Subject Area:


Shopping Cart:

  • For ebooks:

Our eBook editions are available
from these online vendors:

  • Amazon Kindle Store
  • Google Play eBook Store
  • Intel Education Study eBook Store
  • Many of our ebooks are available through
    library electronic resources including these platforms:

  • Books at JSTOR
  • Ebrary
  • Ebook Library
  • EBSCO Ebooks
  • MyiLibrary
  • Dawsonera (UK)

  • For hardcover/paperback orders in United States, Canada, Latin America, Asia, and Australia

     Paperback $87.00 | ($60.90) ISBN: 9780691140490

    Add to shopping cart
    View contents of your shopping cart

    For hardcover/paperback orders in Europe, Africa, the Middle East, India, and Pakistan

     Paperback £60.00 | (£42.00) ISBN: 9780691140490

    Add to shopping cart
    View contents of your shopping cart

    Prices subject to change without notice

    File created: 9/19/2015

    Questions and comments to:
    Princeton University Press

    fall saleFall Book Sale
    New Book E-mails
    New In Print
    PUP Blog
    Princeton APPS
    Sample Chapters
    Princeton Legacy Library
    Exam/Desk Copy
    Recent Awards
    Princeton Shorts
    Freshman Reading
    PUP Europe
    About Us
    Contact Us
    PUP Home

    Bookmark and Share
    Send me emails
    about new books in:
    More Choices