Higher Topos Theory
by Jacob Lurie
Publisher: Princeton University Press 2009
ISBN/ASIN: 0691140499
ISBN-13: 9780691140490
Number of pages: 943
Description:
Jacob Lurie presents the foundations of higher category 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.
Download or read it online for free here:
Download link
(3.9MB, PDF)
Similar books
Model Categories and Simplicial Methodsby Paul Goerss, Kristen Schemmerhorn - Northwestern University
There are many ways to present model categories, each with a different point of view. Here we would like to treat model categories as a way to build and control resolutions. We are going to emphasize the analog of projective resolutions.
(12262 views)
Mixed Motivesby Marc Levine - American Mathematical Society
This book combines foundational constructions in the theory of motives and results relating motivic cohomology to more explicit constructions. Prerequisite for understanding the work is a basic background in algebraic geometry.
(17471 views)
Category Theory Lecture Notesby Daniele Turi - University of Edinburgh
These notes were written for a course in category theory. The course was designed to be self-contained, drawing most of the examples from category theory itself. It was intended for post-graduate students in theoretical computer science.
(14167 views)
Toposes, Triples and Theoriesby Michael Barr, Charles Wells - Springer-Verlag
Introduction to toposes, triples and theories and the connections between them. The book starts with an introduction to category theory, then introduces each of the three topics of the title. Exercises provide examples or develop the theory further.
(17217 views)