Picture 1 of 1
Stock photo
Picture 1 of 1
Stock photo
Cambridge Studies in Advanced Mathematics Ser.: Higher Categories and Homotopical Algebra by Denis-Charles Cisinski (2019, Hardcover)
Great Book Prices Store (360894)
97.9% positive feedback
Price:
$91.17
Free shipping
Returns:
14 days returns. Buyer pays for return shipping. If you use an eBay shipping label, it will be deducted from your refund amount.
Condition:
Higher Categories and Homotopical Algebra, Hardcover by Cisinski, Denis-charles, ISBN 1108473202, ISBN-13 9781108473200, Brand New, Free shipping in the US
- Buy It NowHigher Categories and Homotopical Algebra, Hardcover by Cisinski, Denis-charl...
Oops! Looks like we're having trouble connecting to our server.
Refresh your browser window to try again.
About this product
Product Identifiers
PublisherCambridge University Press
ISBN-101108473202
ISBN-139781108473200
eBay Product ID (ePID)10038642814
Product Key Features
Number of Pages448 Pages
Publication NameHigher Categories and Homotopical Algebra
LanguageEnglish
Publication Year2019
SubjectGroup Theory, Algebra / Abstract, Topology
TypeTextbook
AuthorDenis-Charles Cisinski
Subject AreaMathematics
SeriesCambridge Studies in Advanced Mathematics Ser.
FormatHardcover
Dimensions
Item Height1.1 in
Item Weight26.5 Oz
Item Length9.2 in
Item Width6.2 in
Additional Product Features
Intended AudienceScholarly & Professional
LCCN2018-048001
ReviewsAdvance praise: 'Category theory is concerned with the organisation and construction of general mathematical structures, while homotopy theory is devoted to the study of abstract shapes associated to geometric forms. This book is a window into the new field of mathematics emerging from the convergence of these two branches of mathematics ... It was conjectured a few decades ago that category theory has a natural extension to quasi-categories (also called infinity-category), a notion introduced by Michael Boardman and Reiner Vogt in the early nineteen-seventies ... This book widens and deepens the extension with the addition of a new theory of presheaves inspired by type theory and a new theory of localisation; it proposes an extension of homotopical algebra to quasi-categories, offers new applications, and brings important simplification to earlier works. It is an excellent introduction to the subject and may be used for an advanced course.' Andr Joyal, Universit du Qubec Montral, Canada
Dewey Edition23
Series Volume NumberSeries Number 180
IllustratedYes
Dewey Decimal514.24
Table Of ContentPreface; 1. Prelude; 2. Basic homotopical algebra; 3. The homotopy theory of -categories; 4. Presheaves: externally; 5. Presheaves: internally; 6. Adjoints, limits and Kan extensions; 7. Homotopical algebra; References; Notation; Index.
SynopsisThis book provides an introduction to modern homotopy theory through the lens of higher categories after Joyal and Lurie, giving access to methods used at the forefront of research in algebraic topology and algebraic geometry in the twenty-first century. The text starts from scratch - revisiting results from classical homotopy theory such as Serre's long exact sequence, Quillen's theorems A and B, Grothendieck's smooth/proper base change formulas, and the construction of the Kan-Quillen model structure on simplicial sets - and develops an alternative to a significant part of Lurie's definitive reference Higher Topos Theory, with new constructions and proofs, in particular, the Yoneda Lemma and Kan extensions. The strong emphasis on homotopical algebra provides clear insights into classical constructions such as calculus of fractions, homotopy limits and derived functors. For graduate students and researchers from neighbouring fields, this book is a user-friendly guide to advanced tools that the theory provides for application., This user-friendly book introduces modern homotopy theory through the lens of higher categories after Joyal and Lurie. Starting from scratch it guides graduate students and researchers through the powerful tools that the theory provides for applications in such areas as algebraic geometry, representation theory, algebra and logic.
LC Classification NumberQA612.7.C5645 2019
All listings for this product
Be the first to write a review
