Computing the homology of the lambda algebra:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
1985
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
337 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000258327&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Volume 58, Number 337 (third of four numbers) |
| Umfang: | V, 163 S. |
| ISBN: | 0821823388 |
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| 245 | 1 | 0 | |a Computing the homology of the lambda algebra |c Martin C. Tangora |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1985 | |
| 300 | |a V, 163 S. | ||
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| 650 | 4 | |a Datenverarbeitung | |
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Datensatz im Suchindex
| DE-BY-TUM_katkey | 1565220 |
|---|---|
| _version_ | 1821933346893070336 |
| adam_text | Table of Contents
Page
Chapter 1: Introduction 1
Chapter 2: The lambda algebra 8
2.1. The defining structure of the lambda algebra 9
2.2. Generating tables of relations and differentials 11
2.3. Digression: the Adem relations in the
Steenrod algebra 14
2.4. Ordering 15
2.5. Corollaries to the structure formulas 16
2.6. Tri grading when p is odd 17
2.7. The endomorphism 6 18
2.8. Cutting the work in half: odd endings 19
2.9. Remarks on the image of J and vanishing lines 21
2.10. The unstable algebras and the EHP sequence 22
2.11. Some comments on the search for differentials 24
2.12. The size of the lambda algebra 25
Table 2.1: Actual counts, p=2, odd ending monomials
2.13. Euler characteristic check 27
Chapter 3: The algorithms and the Curtis table 29
3.1. Terminology 29
3.2. The tables do not include certain towers 31
3.3. Preliminary algorithm 31
3.4. Obvious tags and invisible listings 33
3.5. The LTO (leading term only) algorithm 35
3.6. Some perverse examples 37
3.7. Finiteness 38
3.8. Correctness 39
3.9. Shortcuts 39
3.9.1. No small target
3.9.2. Truncation
3.9.3. Cycle initials
3.9.4. Visible products
3.9.5. A certain pattern for p=2
3.9.6. A useful pattern for p=2 or p=3
3.9.7. Verticals, p=2
3.9.8. Some patterns for p=3
3.9.9. Verticals, p=3
3.9.10. Product with Xlf p=3
3.10. Using extraneous information 42
iv TABLE OF CONTENTS
Chapter 4: Implementation and experience 44
4.1. The SNOBOL language 46
4.2. Stop and restart; output 46
4.3. Choice of algorithm 48
4.4. Time and storage constraints 49
4.5. Data representation 51
4.6. The sample program 53
4.7. Execution profiles 55
4.8. Growth rate of the calculation 56
Table 4.1. CPU time for each t, p=2
Table 4.2. CPU time for each t, p=3
4.9. Bad cases 58
4.10. Recent developments 61
Figure 4.1: Snobol program, p=2 64
Chapter 5: Related programs 70
5.1. The lambda algebra 70
5.2. Table processing programs 71
5.3. Various programs for Curtis tables 72
5.4. Execution profiles 74
5.5. Product structure 74
Chapter 6: The tables 76
6.1. Tables 1 and 2: Curtis tables for p=2 77
6.2. Tables 3 and 4: Curtis tables for p=3 77
6.3. Tables 5 and 6: Curtis tables for p=3,
lambdas only 78
Table 1: p=2, stable 79
Table 2: p=2, Curtis table 82
Table 3: p=3, stable 98
Table 4: p=3, Curtis table 102
Table 5: p=3 lambdas only, stable 132
Table 6: p=3 lambdas only, Curtis table 135
Bibliography 161
|
| any_adam_object | 1 |
| author | Tangora, Martin C. |
| author_facet | Tangora, Martin C. |
| author_role | aut |
| author_sort | Tangora, Martin C. |
| author_variant | m c t mc mct |
| building | Verbundindex |
| bvnumber | BV000418226 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)12585281 (DE-599)BVBBV000418226 |
| dewey-full | 514 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology 510 - Mathematics |
| dewey-raw | 514 510 |
| dewey-search | 514 510 |
| dewey-sort | 3514 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| genre | Curtis-Tabelle gnd |
| genre_facet | Curtis-Tabelle |
| id | DE-604.BV000418226 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T07:20:41Z |
| institution | BVB |
| isbn | 0821823388 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000258327 |
| oclc_num | 12585281 |
| open_access_boolean | |
| owner | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-91G DE-BY-TUM DE-706 DE-83 DE-188 |
| owner_facet | DE-12 DE-384 DE-739 DE-355 DE-BY-UBR DE-824 DE-29T DE-91G DE-BY-TUM DE-706 DE-83 DE-188 |
| physical | V, 163 S. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spellingShingle | Tangora, Martin C. Computing the homology of the lambda algebra American Mathematical Society: Memoirs of the American Mathematical Society Topologia Algebrica larpcal Datenverarbeitung Adams spectral sequences Data processing Homotopy groups Data processing Lambda algebra Data processing Adams-Spektralsequenz (DE-588)4141371-4 gnd Datenverarbeitung (DE-588)4011152-0 gnd Lambda-Algebra (DE-588)4469659-0 gnd Homotopiegruppe (DE-588)4160621-8 gnd Homologie (DE-588)4141951-0 gnd Steenrod-Algebra (DE-588)4182999-2 gnd |
| subject_GND | (DE-588)4141371-4 (DE-588)4011152-0 (DE-588)4469659-0 (DE-588)4160621-8 (DE-588)4141951-0 (DE-588)4182999-2 |
| title | Computing the homology of the lambda algebra |
| title_auth | Computing the homology of the lambda algebra |
| title_exact_search | Computing the homology of the lambda algebra |
| title_full | Computing the homology of the lambda algebra Martin C. Tangora |
| title_fullStr | Computing the homology of the lambda algebra Martin C. Tangora |
| title_full_unstemmed | Computing the homology of the lambda algebra Martin C. Tangora |
| title_short | Computing the homology of the lambda algebra |
| title_sort | computing the homology of the lambda algebra |
| topic | Topologia Algebrica larpcal Datenverarbeitung Adams spectral sequences Data processing Homotopy groups Data processing Lambda algebra Data processing Adams-Spektralsequenz (DE-588)4141371-4 gnd Datenverarbeitung (DE-588)4011152-0 gnd Lambda-Algebra (DE-588)4469659-0 gnd Homotopiegruppe (DE-588)4160621-8 gnd Homologie (DE-588)4141951-0 gnd Steenrod-Algebra (DE-588)4182999-2 gnd |
| topic_facet | Topologia Algebrica Datenverarbeitung Adams spectral sequences Data processing Homotopy groups Data processing Lambda algebra Data processing Adams-Spektralsequenz Lambda-Algebra Homotopiegruppe Homologie Steenrod-Algebra Curtis-Tabelle |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000258327&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT tangoramartinc computingthehomologyofthelambdaalgebra |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-335/338 Lageplan |
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