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Cellular Spaces, Null Spaces and Homotopy Localization / by Emmanuel Dror Farjoun.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Farjoun, Emmanuel Dror, author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1622.
- Lecture Notes in Mathematics, 0075-8434 ; 1622
- Language:
- English
- Subjects (All):
- Algebraic topology.
- Topology.
- Mathematics.
- Algebraic Topology.
- Mathematics, general.
- Local Subjects:
- Algebraic Topology.
- Topology.
- Mathematics, general.
- Physical Description:
- 1 online resource (XIV, 206 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1996.
- System Details:
- text file PDF
- Summary:
- 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.
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783540484493
- Access Restriction:
- Restricted for use by site license.
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