Cellular Spaces, Null Spaces and Homotopy Localization
Author | : Emmanuel D. Farjoun |
Publisher | : Springer |
Total Pages | : 214 |
Release | : 2006-11-14 |
ISBN-10 | : 9783540484493 |
ISBN-13 | : 3540484493 |
Rating | : 4/5 (93 Downloads) |
Download or read book Cellular Spaces, Null Spaces and Homotopy Localization written by Emmanuel D. Farjoun and published by Springer. This book was released on 2006-11-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.