Cellular Spaces, Null Spaces and Homotopy Localization. 1st ed. 1996

種類:

電子ブック

責任表示:

by Emmanuel D. Farjoun

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996

著者名:

• Farjoun, Emmanuel D.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1622

ISBN:

9783540484493 [3540484493]    

注記:

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.
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.

ローカル注記:

岐阜大学構成員専用E-BOOKS (Gifu University members only)