1.

Record Nr.

UNISA996466762603316

Autore

Quillen Daniel G.

Titolo

Homotopical algebra / / Daniel G. Quillen

Pubbl/distr/stampa

Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [1967]

©1967

ISBN

3-540-35523-5

Edizione

[1st ed. 1967.]

Descrizione fisica

1 online resource (V, 160 p.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 43

Disciplina

512

Soggetti

Homotopy theory

Algebra, Homological

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Intro -- Title Page -- Copyright Page -- Homotopical Algebra -- Table of Contents -- Chapter 1. Axiomatic Homotopy" Theory Introduction -- Chapter I. Axiomatic Homotopy Theory. -- l. The Axiom -- 2. The loop and suspension functors -- 3. Fibration and Cofibration Sequences. -- 4. Eguivalence of Homotopy Theories -- 5 . Closed Model Categories -- Chapter II. Examples of SimPlicial homotopy theories Introduction -- Chapter II. Examples of simplicial homotopy theories -- 1. Simplicial Categories -- 2. Closed simplicial mode1. categories -- 3. Spaces, simplicial groups, and simplicial sets -- 4. sA as a model category -- 5. Homology and cohomology -- 6. Simplicial modules over a  simplicial ring -- Bibliography.