Higher Algebra by Jacob Lurie
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About this book :-
Higher Algebra is a complex mathematics book that builds upon his earlier work, Higher Topos Theory. It introduces advanced concepts like infinity-categories (8-categories) into algebra, developing ideas such as E-algebras, 8-operads, and stable 8-categories. The book is aimed at graduate students and researchers with a strong background in homotopy theory, operads, stable categories, and higher category theory. It has been described as revolutionary, sparking a conceptual shift in mathematics comparable to Grothendieck’s work in algebraic geometry.
This book is an informal and readable introduction to higher algebra at the post-calculus level with focus on Stable infinite-Categories, infinite-Operads, Algebras and Modules over infinte-Operads, Associative Algebras and Their Modules, Little Cubes and Factorizable Sheaves, Algebraic Structures on infinite-Categories, Algebra in the Stable Homotopy Category, Constructible Sheaves and Exit Paths; Categorical Patterns.
Book Detail :-
This book has following details information.
Title:
Higher Algebra by Jacob Lurie by NA
Publisher:
Harvard University
Series:
freeCompBooks
Year:
2017
Pages:
1553
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
Country:
Pakistan
License:
N\A
Get this book from Amazon
About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Stable 8-Categories
2. 8-Operads
3. Algebras and Modules over 8-Operads
4. Associative Algebras and Their Modules
5. Little Cubes and Factorizable Sheaves
6. The Calculus of Functors
7. Algebra in the Stable Homotopy Category
A. Constructible Sheaves and Exit Paths
B. Categorical Patterns
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