1.

Record Nr.

UNISA996466613503316

Autore

Farjoun Emmanuel <1944->

Titolo

Cellular spaces, null spaces and homotopy localization / / Emmanuel Dror Farjoun

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer-Verlag, , [1995]

©1995

ISBN

3-540-48449-3

Edizione

[1st ed. 1996.]

Descrizione fisica

1 online resource (XIV, 206 p.)

Collana

Lecture Notes in Mathematics ; ; 1622

Classificazione

55P60

Disciplina

512.4

Soggetti

Localization theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

Coaugmented homotopy idempotent localization functors -- Augmented homotopy idempotent functors -- Commutation rules for ?, Lf and CWA, preservation of fibrations and cofibrations -- Dold-Thom symmetric products and other colimits -- General theory of fibrations, GEM error terms -- Homological localization nearly preserves fibrations -- Classification of nullity and cellular types of finite p-torsion suspension spaces -- v 1-periodic spaces and K-theory -- Cellular inequalities.

Sommario/riassunto

In this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. It is applied to K-theory localizations, to Morava-theories, to Hopkins-Smith theory of types. The method of homotopy colimits is used heavily. It is written with an advanced graduate student in topology and research homotopy theorist in mind.