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Higher Categories and Homotopical Algebra
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kr 103
Higher Categories and Homotopical Algebra
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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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.
Produktdetaljer
Sprog: Engelsk
Sider: 448
ISBN-13: 9781108473200
Indbinding: Hardback
Udgave:
ISBN-10: 1108473202
Udg. Dato: 2 maj 2019
Længde: 31mm
Bredde: 222mm
Højde: 159mm
Oplagsdato: 2 maj 2019
Forfatter(e) Denis-Charles (Universitat Regensburg Cisinski, Denis-Charles Cisinski


Kategori Algebraisk geometri


Sprog Engelsk


Indbinding Hardback


Sider 448


Udgave


Længde 31mm


Bredde 222mm


Højde 159mm


Udg. Dato 2 maj 2019


Oplagsdato 2 maj 2019

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