Description: This 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.
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EAN: 9781108473200
UPC: 9781108473200
ISBN: 9781108473200
MPN: N/A
Book Title: Higher Categories and Homotopical Algebra (Cambrid
Number of Pages: 448 Pages
Language: English
Publication Name: Higher Categories and Homotopical Algebra
Publisher: Cambridge University Press
Subject: Group Theory, Algebra / Abstract, Topology
Item Height: 1.1 in
Publication Year: 2019
Type: Textbook
Item Weight: 26.5 Oz
Item Length: 9.2 in
Subject Area: Mathematics
Author: Denis-Charles Cisinski
Series: Cambridge Studies in Advanced Mathematics Ser.
Item Width: 6.2 in
Format: Hardcover
