Stable Homotopy over the Steenrod Algebra. (Record no. 69902)
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| fixed length control field | 05104nam a22004693i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114407 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124607.0 |
| 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 | 240724s2001 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470403096 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821826683 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114407 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114407 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041185 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922964890 |
| 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 | QA612.7 -- .P35 2001eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;514/.24 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Palmieri, John H. |
| 245 10 - TITLE STATEMENT | |
| Title | Stable Homotopy over the Steenrod Algebra. |
| 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 | 2001. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2001. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (193 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.151 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- List of Figures -- Preface -- Chapter 0. Preliminaries -- 0.1. Grading and other conventions -- 0.2. Hopf algebras -- 0.3. Modules and comodules -- 0.4. Homological algebra -- 0.5. Two small examples -- Chapter 1. Stable homotopy over a Hopf algebra -- 1.1. The category Stable(Γ) -- 1.2. The functor H -- 1.2.1. Remarks on Hopf algebra extensions -- 1.3. Some classical homotopy theory -- 1.4. The Adams spectral sequence -- 1.5. Bousfield classes and Brown-Comenetz duality -- 1.6. Further discussion -- Chapter 2. Basic properties of the Steenrod algebra -- 2.1. Quotient Hopf algebras of A -- 2.1.1. Quasi-elementary quotients of A -- 2.2. P[sup(s)][sub(t)]-homology -- 2.2.1. Miscellaneous results about P[sup(s)][sub(t)]-homology -- 2.3. Vanishing lines for homotopy groups -- 2.3.1. Proof of Theorems 2.3.1 and 2.3.2 when p = 2 -- 2.3.2. Changes necessary when p is odd -- 2.4. Self-maps via vanishing lines -- 2.5. Construction of spectra of specified type -- 2.6. Further discussion -- Chapter 3. Chromatic structure -- 3.1. Margolis' killing construction -- 3.2. A Tate version of the functor H -- 3.3. Chromatic convergence -- 3.4. Further discussion: work of Mahowald and Shick -- 3.5. Further discussion -- Chapter 4. Computing Ext with elements inverted -- 4.1. The q[sub(n)]-based Adams spectral sequence -- 4.2. The Q[sub(n)]-based Adams spectral sequence -- 4.3. A(n) as an A-comodule -- 4.4. 1/2A(n) satisfies the vanishing plane condition -- 4.5. 1/2A(n) generates the expected thick subcategory -- 4.5.1. The proof of Proposition 4.5.7 -- 4.6. Some computations and applications -- 4.6.1. Computation of (Q[sub(n)])[sub(**)](Q[sub(n)]) -- 4.6.2. Eisen's calculation -- 4.6.3. The υ[sub(1)]-inverted Ext of the mod 2 Moore spectrum -- Chapter 5. Quillen stratification and nilpotence -- 5.1. Statements of theorems. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 5.1.1. Quillen stratification -- 5.1.2. Nilpotence -- 5.2. Nilpotence and F-isomorphism via the Hopf algebra D -- 5.2.1. Nilpotence: Proof of Theorem 5.1.5 -- 5.2.2. F-isomorphism: Proof of Theorem 5.1.2 -- 5.3. Nilpotence and F-isomorphism via quasi-elementary quotients -- 5.3.1. Nilpotence: Proof of Theorem 5.1.6 -- 5.3.2. F-isomorphism: Proof of Theorem 5.1.3 -- 5.4. Further discussion: nilpotence at odd primes -- 5.5. Further discussion: miscellany -- Chapter 6. Periodicity and other applications of the nilpotence theorems -- 6.1. The periodicity theorem -- 6.2. y-maps and their properties -- 6.3. Properties of ideals -- 6.4. The proof of the periodicity theorem -- 6.5. Computation of some invariants in HD[sub(**)] -- 6.6. Computation of a few Bousfield classes -- 6.7. Ideals and thick subcategories -- 6.7.1. The thick subcategory conjecture -- 6.7.2. Rank varieties -- 6.8. Further discussion: slope supports -- 6.9. Further discussion: miscellany -- Appendix A. An underlying model category -- Appendix B. Steenrod operations and nilpotence in Ext**[sub(Γ)] (k,k) -- B.1. Steenrod operations in Hopf algebra cohomology -- B.2. Nilpotence in Ext over quotients of A: p = 2 -- B.3. Nilpotence in Ext over quotients of A: p odd -- B.3.1. Sketch of proof of Conjecture B.3.4, and other results -- Bibliography -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- K -- L -- M -- N -- 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 | Homotopy theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Steenrod 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 | Palmieri, John H. |
| Title | Stable Homotopy over the Steenrod Algebra |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2001 |
| International Standard Book Number | 9780821826683 |
| 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=3114407">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114407</a> |
| Public note | Click to View |
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