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  • © 1996

Cellular Spaces, Null Spaces and Homotopy Localization

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
  2. Augmented homotopy idempotent functors

    • Emmanuel Dror Farjoun
    Pages 39-58
  3. Dold-Thom symmetric products and other colimits

    • Emmanuel Dror Farjoun
    Pages 79-99
  4. General theory of fibrations, GEM error terms

    • Emmanuel Dror Farjoun
    Pages 100-126
  5. Homological localization nearly preserves fibrations

    • Emmanuel Dror Farjoun
    Pages 127-134
  6. v1-periodic spaces and K-theory

    • Emmanuel Dror Farjoun
    Pages 144-154
  7. Cellular inequalities

    • Emmanuel Dror Farjoun
    Pages 155-175
  8. Back Matter

    Pages 176-199

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

Buy it now

Buying options

eBook USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 49.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access