Homotopy Limit Functors on Model Categories and Homotopical Categories

Lingua: inglese

Editore: American Mathematical Society, US, 2005

0821839756 / 9780821839751

Da: Rarewaves.com UK, London, Regno UnitoRarewaves.com UK

Venditore con 5 stelle

Venditore AbeBooks dal 11 giugno 2025

Visualizza gli articoli di questo venditore
Brossura

Condizione: Nuovo

EUR 139,04

EUR 75,65 spedizione 
Spedito da Regno Unito a U.S.A.

Quantità: 1 disponibili

Aggiungi al carrello
Resi gratuiti per 30 giorni

Descrizione dell’articolo da parte del venditore

The purpose of this monograph, which is aimed at the graduate level and beyond, is to obtain a deeper understanding of Quillen's model categories. A model category is a category together with three distinguished classes of maps, called weak equivalences, cofibrations, and fibrations. Model categories have become a standard tool in algebraic topology and homological algebra and, increasingly, in other fields where homotopy theoretic ideas are becoming important, such as algebraic $K$-theory and algebraic geometry.The authors' approach is to define the notion of a homotopical category, which is more general than that of a model category, and to consider model categories as special cases of this. A homotopical category is a category with only a single distinguished class of maps, called weak equivalences, subject to an appropriate axiom. This enables one to define ""homotopical"" versions of such basic categorical notions as initial and terminal objects, colimit and limit functors, cocompleteness and completeness, adjunctions, Kan extensions, and universal properties.There are two essentially self-contained parts, and part II logically precedes part I. Part II defines and develops the notion of a homotopical category and can be considered as the beginnings of a kind of ""relative"" category theory. The results of part II are used in part I to obtain a deeper understanding of model categories. The authors show in particular that model categories are homotopically cocomplete and complete in a sense stronger than just the requirement of the existence of small homotopy colimit and limit functors. A reader of part II is assumed to have only some familiarity with the above-mentioned categorical notions. Those who read part I, and especially its introductory chapter, should also know something about model categories.

Codice articolo LU-9780821839751

Titolo
Homotopy Limit Functors on Model Categories and Homotopical Categories
Autore
Daniel M. Kan
Editore
American Mathematical Society, US
Anno di pubblicazione
2005
Condizione
New
Rilegatura
Paperback
Lingua
inglese
ISBN 10
0821839756
ISBN 13
9780821839751
Peso dell'articolo
360 grammi

Rarewaves.com UK

London, Regno Unito

Venditore con 5 stelle

Venditore AbeBooks dal 11 giugno 2025

Tariffe di spedizione da Regno Unito a U.S.A.

ArticoloDa 60 a 60 giorni lavorativiDa 60 a 60 giorni lavorativi
Primo articoloEUR 75,65EUR 116,39
I tempi di consegna sono stabiliti dai venditori e variano in base al corriere e al paese. Gli ordini che devono attraversare una dogana possono subire ritardi e spetta agli acquirenti pagare eventuali tariffe o dazi associati. I venditori possono contattarti in merito ad addebiti aggiuntivi dovuti a eventuali maggiorazioni dei costi di spedizione dei tuoi articoli.

Metodi di pagamento

  • Visa
  • Mastercard
  • American Express
  • Carte Bleue
  • Apple Pay
  • Google Pay

Informazioni sull’azienda del venditore

RAREWAVES.COM LIMITED

Elsley Court, 20-22 Great Titchfield Street
London, Regno Unito W1W 8BE