Generalized snaith splittings:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bonn
Math. Inst. der Univ.
2009
|
| Schriftenreihe: | Bonner mathematische Schriften
393 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Bonn, Univ., Diss., 2008 |
| Beschreibung: | IV, 85 S. graph. Darst. 30 cm |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804140853566898176 |
|---|---|
| adam_text | Titel: Generalized Snaith splittings
Autor: Wang, Juan
Jahr: 2009
Contents
1 Introduction 1
2 Segal T-Spaces 9
2.1 Segal T-Spaces - a Covariant Version ..........................................................9
2.2 Segal T-Spaces Arising From Categories........................................................11
2.3 Segal T-Spaces and Spectra......................................................................12
3 Infinite Symmetric Products and Singular Homology 17
3.1 Definition..........................................................................................17
3.2 Dold-Thom Theorem and Dold-Puppe Splitting................................................19
3.3 Generalized Symmetric Product..................................................................21
3.4 Splitting of SPZ„..................................................................................22
3.5 Splitting of SPZ..................................................................................25
4 Configuration Spaces and Stable Homotopy Theory 27
4.1 Properties of Configurations and Examples ....................................................27
4.2 Braid Groups......................................................................................28
4.3 Snaith Splitting and Stable Homotopy Theory..................................................29
4.4 T-spaces arising from C^R*)....................................................................35
5 Grassmannians and Connective K-Theory 37
5.1 Connective K-IIomology Theory ................................................................37
5.2 The Sheaf of Parameterized Emheddiugs........................................................41
5.2.1 Topology on the Sheaf Bd{- Y)........................................................41
5.2.2 Section Space Sectd(A/;YV)..............................................................49
5.2.3 A Scanning Construction for the Thorn Spectrum MTO,/ ............................50
5.3 Splitting of the Functor K ......................................................................55
5.3.1 Homotopy Type of the Splitting Space ®(Y4)..........................................55
iii
5.3.2 Proof of the Main Theorem..............................................................57
6 Splitting of Segal F-Spaces 65
6.1 Weight Filtration of A(X).................................... 65
6.2 Duality Theorem ........................................ 67
6.3 Splitting Spaces ........................................ 68
6.4 Splitting of Segal T-Spaccs........................................................................69
6.5 Ilomotopy Calculus of Segal T-Spaces ..........................................................71
Appendices 74
A Gromov s h-principle 75
B Homotopy Calculus of Functors: an Overview 79
Bibliography 83
|
| any_adam_object | 1 |
| author | Wang, Juan 1980- |
| author_GND | (DE-588)137293011 |
| author_facet | Wang, Juan 1980- |
| author_role | aut |
| author_sort | Wang, Juan 1980- |
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| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 180 |
| ctrlnum | (OCoLC)499594014 (DE-599)DNB993281826 |
| dewey-full | 514.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.23 |
| dewey-search | 514.23 |
| dewey-sort | 3514.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T22:06:35Z |
| institution | BVB |
| language | English |
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| physical | IV, 85 S. graph. Darst. 30 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Math. Inst. der Univ. |
| record_format | marc |
| series | Bonner mathematische Schriften |
| series2 | Bonner mathematische Schriften |
| spelling | Wang, Juan 1980- Verfasser (DE-588)137293011 aut Generalized snaith splittings vorgelegt von Juan Wang Bonn Math. Inst. der Univ. 2009 IV, 85 S. graph. Darst. 30 cm txt rdacontent n rdamedia nc rdacarrier Bonner mathematische Schriften 393 Zugl.: Bonn, Univ., Diss., 2008 Homotopiefunktor (DE-588)4160620-6 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Homotopiefunktor (DE-588)4160620-6 s Homologietheorie (DE-588)4141714-8 s DE-604 Bonner mathematische Schriften 393 (DE-604)BV000001610 393 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018734045&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wang, Juan 1980- Generalized snaith splittings Bonner mathematische Schriften Homotopiefunktor (DE-588)4160620-6 gnd Homologietheorie (DE-588)4141714-8 gnd |
| subject_GND | (DE-588)4160620-6 (DE-588)4141714-8 (DE-588)4113937-9 |
| title | Generalized snaith splittings |
| title_auth | Generalized snaith splittings |
| title_exact_search | Generalized snaith splittings |
| title_full | Generalized snaith splittings vorgelegt von Juan Wang |
| title_fullStr | Generalized snaith splittings vorgelegt von Juan Wang |
| title_full_unstemmed | Generalized snaith splittings vorgelegt von Juan Wang |
| title_short | Generalized snaith splittings |
| title_sort | generalized snaith splittings |
| topic | Homotopiefunktor (DE-588)4160620-6 gnd Homologietheorie (DE-588)4141714-8 gnd |
| topic_facet | Homotopiefunktor Homologietheorie Hochschulschrift |
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