Higher Topos Theory (Annals of Mathematics Studies, 170) free ebook download.

Home : Book details

Higher Topos Theory (Annals of Mathematics Studies, 170) free ebook download

Category:
Mathematics

Views: 46
Likes: 1

Catalogue

Author(s):	Lurie J.

Date:	2009	Format:	pdf	Language:	English	ISBN/ASIN:	0691140480
Pages:	944	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	3/8/2024 10:16:02 AM

To download click on link in the Links Table below

Description: Click to see full description

0691140480 pdf
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.

Links Table

	Title	Link	Password	Size (MB)	Thank to	Inform Admin
3240654	Book	https://nitroflare.com/view/0EB3685A973B...		4.00	eternal

Tags: Annals Higher Mathematics Studies Theory Topos

Title	Link	Password	Size	Reason

Those who downloaded this book also downloaded the following books:
Comments

New comment: