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
Category Theory for Programmersby Bartosz Milewski - unglue.it
Category theory is the kind of math that is particularly well suited for the minds of programmers. It deals with the kind of structure that makes programs composable. And I will argue strongly that composition is the essence of programming.
(1975 views)
Category Theory Lecture Notesby Michael Barr, Charles Wells
Categories originally arose in mathematics out of the need of a formalism to describe the passage from one type of mathematical structure to another. These notes form a short summary of some major topics in category theory.
(7675 views)
Seven Sketches in Compositionality: An Invitation to Applied Category Theoryby Brendan Fong, David I Spivak - arXiv.org
This book is an invitation to discover advanced topics in category theory through concrete, real-world examples. The tour takes place over seven sketches, such as databases, electric circuits, etc, with the exploration of a categorical structure.
(1541 views)
Higher Operads, Higher Categoriesby Tom Leinster - arXiv
Higher-dimensional category theory is the study of n-categories, operads, braided monoidal categories, and other such exotic structures. It draws its inspiration from topology, quantum algebra, mathematical physics, logic, and computer science.
(8090 views)