Cellular Spaces, Null Spaces and Homotopy Localization

  • Authors
  • Emmanuel Dror Farjoun

Part of the Lecture Notes in Mathematics book series (LNM, volume 1622)

Table of contents

  1. Front Matter
    Pages I-XIV
  2. Emmanuel Dror Farjoun
    Pages 39-58
  3. Emmanuel Dror Farjoun
    Pages 79-99
  4. Emmanuel Dror Farjoun
    Pages 100-126
  5. Emmanuel Dror Farjoun
    Pages 127-134
  6. Emmanuel Dror Farjoun
    Pages 144-154
  7. Emmanuel Dror Farjoun
    Pages 155-175
  8. Back Matter
    Pages 176-199

About this book

Introduction

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.

Keywords

Algebraic topology Finite Homotopy K-theory Topology algebra cofibration fibrations homotopy theory

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0094429
  • Copyright Information Springer-Verlag Berlin Heidelberg 1996
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-60604-8
  • Online ISBN 978-3-540-48449-3
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book