Overview

This work offers an exposition on development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated generally, and encompasses all the known idempotent homotopy functors. It is applied to K-theory localization, to Morava-theories, and to Hopkins-Smith theory of types. The method of homotopy colimits is used heavily.

Full Product Details

Author:   Emmanuel D. Farjoun
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1996 ed.
Volume:   1622
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.700kg
ISBN:  

9783540606048

ISBN 10:   3540606041
Pages:   206
Publication Date:   14 December 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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