Topologie algébrique: éléments de mathématique : chapitres 1 à 4
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | French |
Veröffentlicht: |
Berlin
Springer
[2016]
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Schlagworte: | |
Online-Zugang: | BTU01 FHR01 FRO01 TUM01 UBM01 UBT01 UBW01 UEI01 UPA01 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource (XV, 498 Seiten) |
ISBN: | 9783662493618 |
DOI: | 10.1007/978-3-662-49361-8 |
Internformat
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245 | 1 | 0 | |a Topologie algébrique |b éléments de mathématique : chapitres 1 à 4 |c N. Bourbaki |
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650 | 4 | |a Manifolds (Mathematics) | |
650 | 4 | |a Complex manifolds | |
650 | 4 | |a Algebraic Topology | |
650 | 4 | |a Category Theory, Homological Algebra | |
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Datensatz im Suchindex
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adam_text | TOPOLOGIE ALGEBRIQUE
/ BOURBAKI, N.
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
MODE D EMPLOI
INTRODUCTION
CHAPITRE I. REVETEMENTS
1. PRODUITS FIBRES ET CARRES CARTESIENS
2. APPLICATIONS ETALES
3. FAISCEAUX
4. REVETEMENTS
5. REVETEMENTS PRINCIPAUX
6. ESPACES SIMPLEMENT CONNEXES
EXERCICES
CHAPITRE II. GROUPOIDES
1. CARQUOIS
2. GRAPHES
3. GROUPOIDES
4. HOMOTOPIES
5. COEGALISATEUR
EXERCICES
CHAPITRE III. HOMOTOPIE ET GROUPOIDES DE POINCARE
1. HOMOTOPIES, HOMEOTOPIES
2. HOMOTOPIE ET CHEMINS
3. GROUPOIDE DE POINCARE
4. HOMOTOPIE ET REVETEMENTS
5. HOMOTOPIE ET REVETEMENTS (CAS DES ESPACES LOCALEMENT CONNEXES PAR
ARCS)
EXERCICES
CHAPITRE IV. ESPACES DELACABLES
1. ESPACES DELACABLES
2. GROUPES DE POINCARE DES ESPACES DELACABLES
3. GROUPES DE POINCARE DES GROUPES TOPOLOGIQUES
4. THEORIE DE LA DESCENTE
5. THEOREME DE VAN KAMPEN
6. ESPACES CLASSIFIANTS
EXERCICES
INDEX DES NOTATIONS
INDEX TERMINOLOGIQUE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
TOPOLOGIE ALGEBRIQUE
/ BOURBAKI, N.
: 2016
ABSTRACT / INHALTSTEXT
CE LIVRE DES ELEMENTS DE MATHEMATIQUE EST CONSACRE A LA TOPOLOGIE
ALGEBRIQUE. LES QUATRE PREMIERS CHAPITRES PRESENTENT LA THEORIE DES
REVETEMENTS D UN ESPACE TOPOLOGIQUE ET DU GROUPE DE POINCARE. ON
CONSTRUIT LE REVETEMENT UNIVERSEL D UN ESPACE CONNEXE POINTE
DELACABLE ET ON ETABLIT L EQUIVALENCE DE CATEGORIES ENTRE
REVETEMENTS DE CET ESPACE ET ACTIONS DU GROUPE DE POINCARE. ON
DEMONTRE UNE VERSION GENERALE DU THEOREME DE VAN KAMPEN EXPRIMANT
LE GROUPOIDE DE POINCARE D UN ESPACE TOPOLOGIQUE COMME UN
COEGALISATEUR DE DIAGRAMMES DE GROUPOIDES. DANS DE NOMBREUSES
SITUATIONS GEOMETRIQUES, ON EN DEDUIT UNE PRESENTATION EXPLICITE DU
GROUPE DE POINCARE.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
any_adam_object | 1 |
author | Bourbaki, Nicolas ca. 20. Jh.- |
author_GND | (DE-588)140993142 |
author_facet | Bourbaki, Nicolas ca. 20. Jh.- |
author_role | aut |
author_sort | Bourbaki, Nicolas ca. 20. Jh.- |
author_variant | n b nb |
building | Verbundindex |
bvnumber | BV043503616 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (ZDB-2-SMA)978-3-662-49361-8 (OCoLC)946158328 (DE-599)BVBBV043503616 |
dewey-full | 514.2 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology |
dewey-raw | 514.2 |
dewey-search | 514.2 |
dewey-sort | 3514.2 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-662-49361-8 |
format | Electronic eBook |
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language | French |
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spelling | Bourbaki, Nicolas ca. 20. Jh.- Verfasser (DE-588)140993142 aut Topologie algébrique éléments de mathématique : chapitres 1 à 4 N. Bourbaki Berlin Springer [2016] © 2016 1 Online-Ressource (XV, 498 Seiten) txt rdacontent c rdamedia cr rdacarrier Mathematics Category theory (Mathematics) Homological algebra Group theory Algebraic topology Manifolds (Mathematics) Complex manifolds Algebraic Topology Category Theory, Homological Algebra Manifolds and Cell Complexes (incl. Diff.Topology) Group Theory and Generalizations Mathematik Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 s DE-604 Erscheint auch als 978-3-662-49360-1 Druck-Ausgabe https://doi.org/10.1007/978-3-662-49361-8 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919961&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919961&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
spellingShingle | Bourbaki, Nicolas ca. 20. Jh.- Topologie algébrique éléments de mathématique : chapitres 1 à 4 Mathematics Category theory (Mathematics) Homological algebra Group theory Algebraic topology Manifolds (Mathematics) Complex manifolds Algebraic Topology Category Theory, Homological Algebra Manifolds and Cell Complexes (incl. Diff.Topology) Group Theory and Generalizations Mathematik Algebraische Topologie (DE-588)4120861-4 gnd |
subject_GND | (DE-588)4120861-4 |
title | Topologie algébrique éléments de mathématique : chapitres 1 à 4 |
title_auth | Topologie algébrique éléments de mathématique : chapitres 1 à 4 |
title_exact_search | Topologie algébrique éléments de mathématique : chapitres 1 à 4 |
title_full | Topologie algébrique éléments de mathématique : chapitres 1 à 4 N. Bourbaki |
title_fullStr | Topologie algébrique éléments de mathématique : chapitres 1 à 4 N. Bourbaki |
title_full_unstemmed | Topologie algébrique éléments de mathématique : chapitres 1 à 4 N. Bourbaki |
title_short | Topologie algébrique |
title_sort | topologie algebrique elements de mathematique chapitres 1 a 4 |
title_sub | éléments de mathématique : chapitres 1 à 4 |
topic | Mathematics Category theory (Mathematics) Homological algebra Group theory Algebraic topology Manifolds (Mathematics) Complex manifolds Algebraic Topology Category Theory, Homological Algebra Manifolds and Cell Complexes (incl. Diff.Topology) Group Theory and Generalizations Mathematik Algebraische Topologie (DE-588)4120861-4 gnd |
topic_facet | Mathematics Category theory (Mathematics) Homological algebra Group theory Algebraic topology Manifolds (Mathematics) Complex manifolds Algebraic Topology Category Theory, Homological Algebra Manifolds and Cell Complexes (incl. Diff.Topology) Group Theory and Generalizations Mathematik Algebraische Topologie |
url | https://doi.org/10.1007/978-3-662-49361-8 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919961&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028919961&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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