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Princeton University Press - Higher Topos Theory (Annals 170)

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Description

Higher Topos Theory by Jacob Lurie provides a foundational look at infinity-categories, a specific area of higher category theory where higher morphisms are assumed to be invertible. This work uses the language of weak Kan complexes, originally introduced by Boardman and Vogt, to establish a new framework for mathematical study. By using this new language, existing theorems in algebraic topology can be reformulated and generalized. This book offers a powerful theory with applications across many different areas of mathematics. It is a significant addition to the Annals of Mathematics Studies series, providing a way to make complex higher category theory more tractable for researchers and students in the field.

Key Features

This book is part of the Annals of Mathematics Studies series, volume 170, published by Princeton University Press.

Jacob Lurie presents the foundations of infinity-category theory, where all higher morphisms are assumed to be invertible.

The text utilizes the language of weak Kan complexes as introduced by Boardman and Vogt to build its theoretical framework.

Existing theorems in algebraic topology are reformulated and generalized through this new mathematical language.

The theory presented in this volume has wide-ranging applications across many different areas of mathematics.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
26 July 2009
Listed Since
08 August 2008

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