二手書博民逛書店Higher罕見Categories and Homotopical Algebra (Cambridge Studies in Advanced Mathematics) 英文原版 高級分類和同位代數（高級數學劍橋研究）Y259223 Denis-Charles Cisinski Cambridge University Press ISBN:9781108473200 出版2019

作 者：Denis-Charles Cisinski

出 版 社：Cambridge University Press

出版時間：2019-03

印刷時間：

印 數：

裝 訂：

版 次：

開 本：

頁 數：448頁

字 數：

I S B N：9781108473200

年 代：

裝 幀：精裝

尺 寸：

冊 數：

紙 張：

刻印方式：

代購商品
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.

259223/1721474174