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Cellular Spaces, Null Spaces and Homotopy Localization de Emmanuel D. Farjoun

Cellular Spaces, Null Spaces and Homotopy Localization: Lecture Notes in Mathematics, cartea 1622

Autor Emmanuel D. Farjoun
en Limba Engleză Paperback – 14 dec 1995
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.
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Specificații

ISBN-13: 9783540606048
ISBN-10: 3540606041
Pagini: 220
Ilustrații: XIV, 206 p.
Dimensiuni: 155 x 235 x 12 mm
Greutate: 0.31 kg
Ediția:1996
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.