Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups. (Record no. 69777)
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| fixed length control field | 04926nam a22005053i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114246 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124604.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2008 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470405045 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821840764 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114246 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114246 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11039865 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981804 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA211 -- .R64 2008eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;512/.32 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Rognes, John. |
| 245 10 - TITLE STATEMENT | |
| Title | Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2008. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2008. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (154 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.192 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Galois Extensions of Structured Ring Spectra -- Abstract -- Chapter 1. Introduction -- Chapter 2. Galois extensions in algebra -- 2.1. Galois extensions of fields -- 2.2. Regular covering spaces -- 2.3. Galois extensions of commutative rings -- Chapter 3. Closed categories of structured module spectra -- 3.1. Structured spectra -- 3.2. Localized categories -- 3.3. Dualizable spectra -- 3.4. Stably dualizable groups -- 3.5. The dualizing spectrum -- 3.6. The norm map -- Chapter 4. Galois extensions in topology -- 4.1. Galois extensions of E-local commutative S-algebras -- 4.2. The Eilenberg-Mac Lane embedding -- 4.3. Faithful extensions -- Chapter 5. Examples of Galois extensions -- 5.1. Trivial extensions -- 5.2. Eilenberg-Mac Lane spectra -- 5.3. Real and complex topological K-theory -- 5.4. The Morava change-of-rings theorem -- 5.5. The K(1)-local case -- 5.6. Cochain S-algebras -- Chapter 6. Dualizability and alternate characterizations -- 6.1. Extended equivalences -- 6.2. Dualizability -- 6.3. Alternate characterizations -- 6.4. The trace map and self-duality -- 6.5. Smash invertible modules -- Chapter 7. Galois theory I -- 7.1. Base change for Galois extensions -- 7.2. Fixed S-algebras -- Chapter 8. Pro-Galois extensions and the Amitsur complex -- 8.1. Pro-Galois extensions -- 8.2. The Amitsur complex -- Chapter 9. Separable and étale extensions -- 9.1. Separable extensions -- 9.2. Symmetrically étale extensions -- 9.3. Smashing maps -- 9.4. Étale extensions -- 9.5. Henselian maps -- 9.6. I-adic towers -- Chapter 10. Mapping spaces of commutative S-algebras -- 10.1. Obstruction theory -- 10.2. Idempotents and connected S-algebras -- 10.3. Separable closure -- Chapter 11. Galois theory II -- 11.1. Recovering the Galois group -- 11.2. The brave new Galois correspondence. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Chapter 12. Hopf-Galois extensions in topology -- 12.1. Hopf-Galois extensions of commutative S-algebras -- 12.2. Complex cobordism -- References -- Stably Dualizable Groups -- Abstract -- Chapter 1. Introduction -- 1.1. The symmetry groups of stable homotopy theory -- 1.2. Algebraic localizations and completions -- 1.3. Chromatic localizations and completions -- 1.4. Applications -- Chapter 2. The dualizing spectrum -- 2.1. The E-local stable category -- 2.2. Dualizable spectra -- 2.3. Stably dualizable groups -- 2.4. E-compact groups -- 2.5. The dualizing and inverse dualizing spectra -- Chapter 3. Duality theory -- 3.1. Poincaré duality -- 3.2. Inverse Poincare duality -- 3.3. The Picard group -- Chapter 4. Computations -- 4.1. A spectral sequence for E-homology -- 4.2. Morava K-theories -- 4.3. Eilenberg-Mac Lane spaces -- Chapter 5. Norm and transfer maps -- 5.1. Thom spectra -- 5.2. The norm map and Tate cohomology -- 5.3. The G-transfer map -- 5.4. E-local homotopy classes -- References -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- X -- Y -- Z. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Galois theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Ring extensions (Algebra). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Homology theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Homotopy theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Commutative algebra. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Rognes, John |
| Title | Galois Extensions of Structured Ring Spectra/Stably Dualizable Groups |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2008 |
| International Standard Book Number | 9780821840764 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114246">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114246</a> |
| Public note | Click to View |
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