PERHAPS A GIFT VOUCHER FOR MUM?: MOTHER'S DAY

Close Notification

Your cart does not contain any items

Categorical Homotopy Theory by Emily Riehl (Harvard University, Massachusetts) at Abbey's Bookshop,
Categorical Homotopy Theory
— —
Emily Riehl (Harvard University, Massachusetts)

Categorical Homotopy Theory

Emily Riehl (Harvard University, Massachusetts)

$159.95

Hardback

Not in-store but you can order this
How long will it take?
English
Cambridge University Press
26 May 2014
Algebraic topology
Series: New Mathematical Monographs
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. Emily 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.
By:  
Imprint:   Cambridge University Press
Country of Publication:   United Kingdom
Volume:   24
Dimensions:   Height: 229mm,  Width: 152mm,  Spine: 25mm
Weight:   720g
ISBN:   9781107048454
ISBN 10:   1107048451
Series:   New Mathematical Monographs
Pages:   372
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active

Emily Riehl is a Benjamin Peirce Fellow in the Department of Mathematics at Harvard University, Massachusetts and a National Science Foundation Mathematical Sciences Postdoctoral Research Fellow.

See Also

Categorical Homotopy Theory

Vektorbundel

Vom Moebius-Bundel bis zum J-Homomorphismus...

Karlheinz Knapp

Paperback

$123.95  $98.90

Not in-store but you can order this

ADD +
Categorical Homotopy Theory

Topology

A Very Short Introduction

Richard Earl

Paperback

$17.95 

Not in-store but you can order this

ADD +
Categorical Homotopy Theory

Fundamentals of Differential Geometry...

Serge Lang

Hardback

$260.95  $208.95

Not in-store but you can order this

ADD +
Categorical Homotopy Theory

A Tale of Two Fractals

A.A. Kirillov

Hardback

$130.95  $105.07

Not in-store but you can order this

ADD +
Categorical Homotopy Theory

Etale Cohomology Theory

Revised Edition

Lei Fu (Chern Inst Of Mathematics,...

Hardback

$405.99 

Not in-store but you can order this

ADD +
Categorical Homotopy Theory

A Comprehensive Introduction to...

Andrei Agrachev (Scuola Internazionale...

Hardback

$310 

Not in-store but you can order this

ADD +