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Cellular Spaces, Null Spaces and Homotopy Localization

  • Book
  • © 1996

Overview

Authors:
  1. Emmanuel Dror Farjoun
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1622)

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Table of contents (9 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Coaugmented homotopy idempotent localization functors

    • Emmanuel Dror Farjoun
    Pages 1-38

  3. Augmented homotopy idempotent functors

    • Emmanuel Dror Farjoun
    Pages 39-58

  4. Commutation rules for Ω, Lf and CWA, preservation of fibrations and cofibrations

    • Emmanuel Dror Farjoun
    Pages 59-78

  5. Dold-Thom symmetric products and other colimits

    • Emmanuel Dror Farjoun
    Pages 79-99

  6. General theory of fibrations, GEM error terms

    • Emmanuel Dror Farjoun
    Pages 100-126

  7. Homological localization nearly preserves fibrations

    • Emmanuel Dror Farjoun
    Pages 127-134

  8. Classification of nullity and cellular types of finite p-torsion suspension spaces

    • Emmanuel Dror Farjoun
    Pages 135-143

  9. v1-periodic spaces and K-theory

    • Emmanuel Dror Farjoun
    Pages 144-154

  10. Cellular inequalities

    • Emmanuel Dror Farjoun
    Pages 155-175

  11. Back Matter

    Pages 176-199
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Cellular Spaces, Null Spaces and Homotopy Localization

  • Authors: Emmanuel Dror Farjoun

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0094429

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1996

  • Softcover ISBN: 978-3-540-60604-8Published: 14 December 1995

  • eBook ISBN: 978-3-540-48449-3Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: XIV, 206

  • Topics: Algebraic Topology, Topology, Mathematics, general

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