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Categorical Homotopy Theory
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Categorical Homotopy Theory Hardback - 2014

by Emily Riehl

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Reader reviews for Categorical Homotopy Theory

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This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part II, Riehl further examines this topic, separating categorical arguments from homotopical ones. Part III treats the most ubiquitous axiomatic framework for homotopy theory - Quillen's model categories. Here, Riehl simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems. Part IV introduces quasi-categories and homotopy coherence.

Details

  • Title Categorical Homotopy Theory
  • Author Emily Riehl
  • Binding Hardback
  • Pages 372
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Publication date 2014-05-26
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9781107048454 / 1107048451
  • Weight 1.4 lbs (0.64 kg)
  • Dimensions 9.1 x 5.9 x 1 in (23.11 x 14.99 x 2.54 cm)
  • Themes
    • Aspects (Academic): Science/Technology Aspects
  • Category Mathematics
  • Library of Congress subjects Homotopy theory, Algebra, Homological
  • Library of Congress Catalogue Number 2013049898
  • Dewey Decimal Code 514.24

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Categorical Homotopy Theory

Categorical Homotopy Theory

by Emily Riehl

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Hardcover. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; This categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.
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Categorical Homotopy Theory

Categorical Homotopy Theory

by Emily Riehl

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Hardback. New. This categorical perspective on homotopy theory helps consolidate and simplify one's understanding of derived functors, homotopy limits and colimits, and model categories, among others.
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Categorical Homotopy Theory
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Categorical Homotopy Theory
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Categorical Homotopy Theory

by Riehl, Emily

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Categorical Homotopy Theory
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Categorical Homotopy Theory (New Mathematical Monographs, Series Number 24)
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Categorical Homotopy Theory (New Mathematical Monographs, Series Number 24)

by Riehl, Emily

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