Cellular Spaces, Null Spaces and Homotopy Localization

Cellular Spaces, Null Spaces and Homotopy Localization PDF Author: Emmanuel D. Farjoun
Publisher: Springer
ISBN: 3540484493
Category : Mathematics
Languages : en
Pages : 214

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Book Description
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.