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Higher Categories and Homotopical Algebra
Engelsk
Bogcover for Higher Categories and Homotopical Algebra af Denis-Charles Cisinski, 9781108473200
Specifikationer
Sprog:
Engelsk
Sider:
448
ISBN-13:
9781108473200
Indbinding:
Hardback
ISBN-10:
1108473202
Udg. Dato:
2 maj 2019
Størrelse i cm:
22,2 x 15,9 x 3,1
Oplagsdato:
2 maj 2019
Forfatter(e):

Higher Categories and Homotopical Algebra

Engelsk
Hardback 2019
Format:

Bog beskrivelse
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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Specifikationer
Sprog:
Engelsk
Sider:
448
ISBN-13:
9781108473200
Indbinding:
Hardback
ISBN-10:
1108473202
Udg. Dato:
2 maj 2019
Størrelse i cm:
22,2 x 15,9 x 3,1
Oplagsdato:
2 maj 2019
Forfatter(e):
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