Goodwillie Tower and the EHP Sequence. (Record no. 70002)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 04073nam a22004813i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114507 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124610.0 |
| 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 | 240724s2012 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780821890141 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821869024 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114507 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114507 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041285 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922964948 |
| 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 | QA612.78 -- .B447 2011eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514/.24 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Behrens, Mark. |
| 245 10 - TITLE STATEMENT | |
| Title | Goodwillie Tower and the EHP Sequence. |
| 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 | 2012. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (109 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.218 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- Contents -- Abstract -- Introduction -- 0.1. Conventions -- Chapter 1. Dyer-Lashof operations and the identity functor -- 1.1. The operadic bar construction -- 1.2. The cooperadic structure on B() -- 1.3. Operad structure on *(Id) -- 1.4. Homology of extended powers -- 1.5. Dyer-Lashof-like operations -- Chapter 2. The Goodwillie tower of the EHP sequence -- 2.1. Fiber sequences associated to the EHP sequence -- 2.2. Homological behavior of the fiber sequences -- 2.3. Transfinite Atiyah-Hirzebruch spectral sequences -- 2.4. Transfinite Goodwillie spectral sequence -- Chapter 3. Goodwillie filtration and the P map -- 3.1. Goodwillie filtration -- 3.2. The genealogy of unstable elements -- 3.3. Behavior of the E and P maps in the TAHSS -- 3.4. Behavior of the E and P maps in the TGSS -- 3.5. Detection in the TGSS -- 3.6. Relationship with Whitehead products -- Chapter 4. Goodwillie differentials and Hopf invariants -- 4.1. Hopf invariants and the transfinite EHPSS -- 4.2. Stable Hopf invariants and metastable homotopy -- 4.3. Goodwillie d1 differentials and stable Hopf invariants -- 4.4. Higher Goodwillie differentials and unstable Hopf invariants -- 4.5. Propagating differentials with the P and E maps -- 4.6. Calculus form of the Whitehead conjecture -- 4.7. Exotic Goodwillie differentials -- Chapter 5. EHPSS differentials -- 5.1. EHPSS naming conventions -- 5.2. Using the TGSS to compute the H map -- 5.3. TEHPSS differentials from TGSS differentials -- 5.4. A bad differential -- Chapter 6. Calculations in the 2-primary Toda range -- 6.1. AHSS calculations -- 6.2. Calculation of the GSS for S1 -- 6.3. GSS calculations -- 6.4. Calculation of the EHPSS -- 6.5. Tables of computations -- 6.5.1. The AHSS for k(L(1)) -- 6.5.2. The AHSS for k(L(2)) -- 6.5.3. The AHSS for k(L(3)) -- 6.5.4. The EHPSS -- 6.5.5. The GSS for n+1(S1). |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 6.5.6. The GSS for n+2(S2) -- 6.5.7. The GSS for n+3(S3) -- 6.5.8. The GSS for n+4(S4) -- 6.5.9. The GSS for n+5(S5) -- 6.5.10. The GSS for n+6(S6) -- Appendix A. Transfinite spectral sequences associated to towers -- A.1. The Grothendieck group of ordinals -- A.2. Towers -- A.3. The transfinite homotopy spectral sequence of a tower -- A.4. Geometric boundary theorem -- Bibliography. |
| 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 groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebraic topology. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Spectral sequences (Mathematics). |
| 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 | Behrens, Mark |
| Title | Goodwillie Tower and the EHP Sequence |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c2012 |
| International Standard Book Number | 9780821869024 |
| 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=3114507">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114507</a> |
| Public note | Click to View |
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