eBook - PDF

Higher Categories and Homotopical Algebra

Name: Higher Categories and Homotopical Algebra
Author: Denis-Charles Cisinski

Denis-Charles Cisinski,

English
PDF
Available on iOS & Android

eBook - PDF

Higher Categories and Homotopical Algebra

Denis-Charles Cisinski,

About this book

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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Yes, you can access Higher Categories and Homotopical Algebra by Denis-Charles Cisinski in PDF and/or ePUB format, as well as other popular books in Mathematics & Topology. We have over one million books available in our catalogue for you to explore.