Generalized etale cohomology theories:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
1997
|
| Schriftenreihe: | Progress in mathematics
146 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 317 S. graph. Darst. |
| ISBN: | 3764354941 |
Internformat
MARC
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| 245 | 1 | 0 | |a Generalized etale cohomology theories |c J. F. Jardine |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 1997 | |
| 300 | |a X, 317 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804125599803899904 |
|---|---|
| adam_text | CONTENTS
Chapter 1. Smash products of spectra
1.1. Basic definitions 2
1.2. Partial spectra 7
1.3. Bispectra 17
1.4. n fold spectra 25
Chapter 2. Abstract homotopy theory of n fold spectra
2.1. Closed model category structures for n fold spectra 31
2.2. Equivalence of homotopy categories 49
2.3. Simplicial presheaves and presheaves of spectra 51
2.4. Presheaves of n fold spectra 57
2.5. Smash products of presheaves of spectra 64
Chapter 3. First applications
3.1. Function spectra 68
3.2. The abstract norm 83
Chapter 4. Auxilliary results
4.1. Fibres and cofibres 92
4.2. Boundary maps 96
4.3. Simplicial spectra 100
4.4. The Kan suspension 105
4.5. Simplicial abelian group spectra 115
4.6. Stable Dold Kan theory 127
4.7. Postnikov towers 132
Chapter 5. iiT theory presheaves
5.1. The X theory presheaf of spectra and its deloopings 145
5.2. Products 155
5.3. The algebraic if theory product 173
5.4. if theory transfer 180
5.5. Join transformations 187
Chapter 6. Generalized etale cohomology
6.1. The descent spectral sequence 198
6.2. The classifying topos 204
6.3. Ordinary Galois cohomology 212
6.4. Generalized Cech cohomology 218
6.5. Continuity 231
x Contents
Chapter 7. Bott periodic X theory
7.1. The Tate theorem 242
7.2. Calculations in low degrees 251
7.3. Inductors 258
7.4. Descent for Bott periodic K theory of fields 263
7.5. Arbitrary powers and regular schemes 275
7.6. The Nisnevich topology 282
7.7. Post Script: The Lichtenbaum Quillen conjecture 306
References 313
Index 316
|
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| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:04:08Z |
| institution | BVB |
| isbn | 3764354941 |
| language | English |
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| oclc_num | 36074546 |
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| physical | X, 317 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Birkhäuser |
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| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Jardine, John F. 1951- Verfasser (DE-588)121017923 aut Generalized etale cohomology theories J. F. Jardine Basel [u.a.] Birkhäuser 1997 X, 317 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 146 Géométrie algébrique ram Homologie ram Geometry, Algebraic Homology theory Etalkohomologie (DE-588)4153071-8 gnd rswk-swf Etalkohomologie (DE-588)4153071-8 s DE-604 Progress in mathematics 146 (DE-604)BV000004120 146 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007442792&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jardine, John F. 1951- Generalized etale cohomology theories Progress in mathematics Géométrie algébrique ram Homologie ram Geometry, Algebraic Homology theory Etalkohomologie (DE-588)4153071-8 gnd |
| subject_GND | (DE-588)4153071-8 |
| title | Generalized etale cohomology theories |
| title_auth | Generalized etale cohomology theories |
| title_exact_search | Generalized etale cohomology theories |
| title_full | Generalized etale cohomology theories J. F. Jardine |
| title_fullStr | Generalized etale cohomology theories J. F. Jardine |
| title_full_unstemmed | Generalized etale cohomology theories J. F. Jardine |
| title_short | Generalized etale cohomology theories |
| title_sort | generalized etale cohomology theories |
| topic | Géométrie algébrique ram Homologie ram Geometry, Algebraic Homology theory Etalkohomologie (DE-588)4153071-8 gnd |
| topic_facet | Géométrie algébrique Homologie Geometry, Algebraic Homology theory Etalkohomologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007442792&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT jardinejohnf generalizedetalecohomologytheories |