Abelian properties of Anick spaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
March 2017
|
| Series: | Memoirs of the American Mathematical Society
1162 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | v, 111 Seiten |
| ISBN: | 9781470423087 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804177397644263424 |
|---|---|
| adam_text | Contents
Chapter 1. Introduction 1
1.1. Statement of Results 1
1.2. History 2
1.3. Methods and Modifications 3
1.4. Outline of Modifications 5
1.5. Conventions and Notation 7
Chapter 2. Abelian Structures 9
2.1. Preliminaries 9
2.2. Whitehead Products 11
2.3. Theriault’s Criterion 13
2.4. Compatibility of Modifications 14
2.5. Properties of G and T 15
Chapter 3. Whitehead Products 17
3.1. Defining Whitehead Products Using co-H Spaces 17
3.2. i/-space Based and Relative Whitehead Products 19
3.3. Iterated Whitehead Products and the Decomposition of QG * flH 27
3.4. Neisendorfer’s Theory for Homotopy with Coefficients 30
Chapter 4. Index p approximation 35
4.1. Construction of the co-H Ladder 35
4.2. Index p Approximation 39
Chapter 5. Simplification 47
5.1. Reduction 47
5.2. Congruence Homotopy Theory 51
Chapter 6. Constructing 7*. 59
6.1. Controlled Extension and the Case k = 0 59
6.2. Preparation for Induction 64
6.3. The Inductive Construction 72
Chapter 7. Universal Properties 85
7.1. Statement of Results 85
7.2. Inductive Analysis 86
7.3. The exact sequence 96
7.4. Applications 102
iii
IV
CONTENTS
107
109
Appendix A. The Case n = 1 and the Case p = 3
Bibliography
List of Symbols
111
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| id | DE-604.BV044238517 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:47:26Z |
| institution | BVB |
| isbn | 9781470423087 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029643919 |
| oclc_num | 982190464 |
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| owner | DE-355 DE-BY-UBR DE-29T DE-83 DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-83 DE-11 |
| physical | v, 111 Seiten |
| publishDate | 2017 |
| publishDateSearch | 2017 |
| publishDateSort | 2017 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Gray, Brayton 1940- (DE-588)1127358081 aut Abelian properties of Anick spaces Brayton Gray Providence, Rhode Island American Mathematical Society March 2017 v, 111 Seiten txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 246, number 1162 (1st of 6 numbers) Abelsche Gruppe (DE-588)4140988-7 gnd rswk-swf Schleifenraum (DE-588)4179711-5 gnd rswk-swf Topologische Gruppe (DE-588)4135793-0 gnd rswk-swf Hopf-Raum (DE-588)4160649-8 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Abelsche Gruppe (DE-588)4140988-7 s Topologische Gruppe (DE-588)4135793-0 s Topologischer Raum (DE-588)4137586-5 s Schleifenraum (DE-588)4179711-5 s DE-604 Hopf-Raum (DE-588)4160649-8 s 1\p DE-604 Memoirs of the American Mathematical Society 1162 (DE-604)BV008000141 1162 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029643919&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gray, Brayton 1940- Abelian properties of Anick spaces Memoirs of the American Mathematical Society Abelsche Gruppe (DE-588)4140988-7 gnd Schleifenraum (DE-588)4179711-5 gnd Topologische Gruppe (DE-588)4135793-0 gnd Hopf-Raum (DE-588)4160649-8 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| subject_GND | (DE-588)4140988-7 (DE-588)4179711-5 (DE-588)4135793-0 (DE-588)4160649-8 (DE-588)4137586-5 |
| title | Abelian properties of Anick spaces |
| title_auth | Abelian properties of Anick spaces |
| title_exact_search | Abelian properties of Anick spaces |
| title_full | Abelian properties of Anick spaces Brayton Gray |
| title_fullStr | Abelian properties of Anick spaces Brayton Gray |
| title_full_unstemmed | Abelian properties of Anick spaces Brayton Gray |
| title_short | Abelian properties of Anick spaces |
| title_sort | abelian properties of anick spaces |
| topic | Abelsche Gruppe (DE-588)4140988-7 gnd Schleifenraum (DE-588)4179711-5 gnd Topologische Gruppe (DE-588)4135793-0 gnd Hopf-Raum (DE-588)4160649-8 gnd Topologischer Raum (DE-588)4137586-5 gnd |
| topic_facet | Abelsche Gruppe Schleifenraum Topologische Gruppe Hopf-Raum Topologischer Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029643919&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT graybrayton abelianpropertiesofanickspaces |