Cellular Spaces, Null Spaces and Homotopy Localization

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...

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Bibliographic Details
Main Author: Farjoun, Emmanuel Dror, 1944-
Format: Livre numérique
Language:Anglais
Published: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Series:Lecture notes in mathematics 1622
Subjects:
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Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Cellular spaces, null spaces, and homotopy localization, Emmanuel Dror Farjoun, 1996, Berlin, Springer, 1 volume (XIV-199 pages), Lecture notes in mathematics, 3-540-60604-1
• Cellular Spaces, Null Spaces and Homotopy Localization, Texte imprimé, 9783662210536
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.