Homotopy theory of the suspensions of the projective plane:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2003
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
769 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 162, number 769 (first of 5 numbers)." Includes bibliographical references |
| Beschreibung: | X, 130 S. |
| ISBN: | 0821832395 |
Internformat
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| 100 | 1 | |a Wu, Jie |d 1964- |e Verfasser |0 (DE-588)172458749 |4 aut | |
| 245 | 1 | 0 | |a Homotopy theory of the suspensions of the projective plane |c Jie Wu |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2003 | |
| 300 | |a X, 130 S. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 769 | |
| 500 | |a "Volume 162, number 769 (first of 5 numbers)." | ||
| 500 | |a Includes bibliographical references | ||
| 650 | 7 | |a ESPAÇOS DE LAÇOS |2 larpcal | |
| 650 | 7 | |a HOMOTOPIA |2 larpcal | |
| 650 | 7 | |a Homotopie |2 gtt | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Homotopy groups | |
| 650 | 4 | |a Homotopy theory | |
| 650 | 4 | |a Loop spaces | |
| 650 | 0 | 7 | |a Schleifenraum |0 (DE-588)4179711-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Homotopiegruppe |0 (DE-588)4160621-8 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804129649857396736 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction vii
Chapter 2. Preliminary and the Classical Homotopy Theory 1
2.1. Action of the Steenrod Algebra 1
2.2. The James Construction and the Cohen Groups 4
2.3. An Application to the Stiefel Manifolds 10
2.4. The Strong Form of the Kervaire Invariant One Problem 12
2.5. The Exponent Problem 20
2.6. Some Lemmas on Fibrations 25
Chapter 3. Decompositions of Self Smash Products 29
3.1. Functorial Decompositions of Self Smashes of Two cell Complexes 29
3.2. Decompositions of Self Smashes of KP2 32
Chapter 4. Decompositions of the Loop Spaces 41
4.1. Functorial Decompositions of Loop Suspensions 41
4.2. Determination of Q^!mx(P (2)) for k 9 42
4.3. The Fibre of the Pinch Map 45
4.4. The EHP Sequences for mod 2 Moore Spaces 48
Chapter 5. The Homotopy Groups 7rn+r(E RP2) for n 2 and r 8 57
5.1. Preliminary and Notations 57
5.2. The Homotopy Groups 7r»(P4(2)) 58
5.3. The Homotopy Groups tt»(P5(2)) 67
5.4. The Homotopy Groups 7rt(P6(2)) 74
5.5. The Homotopy Groups tt,(P7(2)) 78
5.6. The Homotopy Groups tt«(P8(2)) 83
5.7. The Homotopy Groups tt,(P9(2)) 86
5.8. The Homotopy Groups 7r,(Pn(2)) for n 10 88
5.9. Remarks on the Generators for the Homotopy Groups 90
Chapter 6. The Homotopy Theory of EMP2 93
6.1. Fibrations over SKPn 93
6.2. A Decomposition of flf)P3(2) 96
6.3. The Homotopy Groups tt*(EMP2) 100
The Table of the Homotopy Groups of £nRP2 127
Bibliography 129
|
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| dewey-ones | 514 - Topology |
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| id | DE-604.BV014892584 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:08:30Z |
| institution | BVB |
| isbn | 0821832395 |
| language | English |
| lccn | 2002038389 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010069784 |
| oclc_num | 51022649 |
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| physical | X, 130 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| publisher | American Mathematical Society |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Wu, Jie 1964- Verfasser (DE-588)172458749 aut Homotopy theory of the suspensions of the projective plane Jie Wu Providence, RI American Mathematical Society 2003 X, 130 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 769 "Volume 162, number 769 (first of 5 numbers)." Includes bibliographical references ESPAÇOS DE LAÇOS larpcal HOMOTOPIA larpcal Homotopie gtt Group theory Homotopy groups Homotopy theory Loop spaces Schleifenraum (DE-588)4179711-5 gnd rswk-swf Homotopiegruppe (DE-588)4160621-8 gnd rswk-swf Homotopiegruppe (DE-588)4160621-8 s Schleifenraum (DE-588)4179711-5 s DE-604 Memoirs of the American Mathematical Society 769 (DE-604)BV008000141 769 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010069784&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wu, Jie 1964- Homotopy theory of the suspensions of the projective plane Memoirs of the American Mathematical Society ESPAÇOS DE LAÇOS larpcal HOMOTOPIA larpcal Homotopie gtt Group theory Homotopy groups Homotopy theory Loop spaces Schleifenraum (DE-588)4179711-5 gnd Homotopiegruppe (DE-588)4160621-8 gnd |
| subject_GND | (DE-588)4179711-5 (DE-588)4160621-8 |
| title | Homotopy theory of the suspensions of the projective plane |
| title_auth | Homotopy theory of the suspensions of the projective plane |
| title_exact_search | Homotopy theory of the suspensions of the projective plane |
| title_full | Homotopy theory of the suspensions of the projective plane Jie Wu |
| title_fullStr | Homotopy theory of the suspensions of the projective plane Jie Wu |
| title_full_unstemmed | Homotopy theory of the suspensions of the projective plane Jie Wu |
| title_short | Homotopy theory of the suspensions of the projective plane |
| title_sort | homotopy theory of the suspensions of the projective plane |
| topic | ESPAÇOS DE LAÇOS larpcal HOMOTOPIA larpcal Homotopie gtt Group theory Homotopy groups Homotopy theory Loop spaces Schleifenraum (DE-588)4179711-5 gnd Homotopiegruppe (DE-588)4160621-8 gnd |
| topic_facet | ESPAÇOS DE LAÇOS HOMOTOPIA Homotopie Group theory Homotopy groups Homotopy theory Loop spaces Schleifenraum Homotopiegruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010069784&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT wujie homotopytheoryofthesuspensionsoftheprojectiveplane |