Local homotopy theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY [u.a.]
Springer
2015
|
| Series: | Springer monographs in mathematics
|
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (IX, 508 S.) 514 illus |
| ISBN: | 9781493923007 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-1-4939-2300-7 |
Staff View
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Record in the Search Index
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|---|---|
| adam_text | LOCAL HOMOTOPY THEORY
/ JARDINE, JOHN F.
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
1 INTRODUCTION
PART I PRELIMINARIES
2 HOMOTOPY THEORY OF SIMPLICIAL SETS
3 SOME TOPOS THEORY
PART II SIMPLICIAL PRESHEAVES AND SIMPLICIAL SHEAVES
4 LOCAL WEAK EQUIVALENCES
5 LOCAL MODEL STRUCTURES
6 COCYCLES
7 LOCALIZATION THEORIES
PART III SHEAF COHOMOLOGY THEORY
8 HOMOLOGY SHEAVES AND COHOMOLOGY GROUPS
9 NON-ABELIAN COHOMOLOGY
PART IV STABLE HOMOTOPY THEORY
10 SPECTRA AND T-SPECTRA
11 SYMMETRIC T-SPECTRA
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
LOCAL HOMOTOPY THEORY
/ JARDINE, JOHN F.
: 2015
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH ON THE HOMOTOPY THEORY OF TOPOLOGIZED DIAGRAMS OF SPACES
AND SPECTRA GIVES AN EXPERT ACCOUNT OF A SUBJECT AT THE FOUNDATION OF
MOTIVIC HOMOTOPY THEORY AND THE THEORY OF TOPOLOGICAL MODULAR FORMS IN
STABLE HOMOTOPY THEORY. BEGINNING WITH AN INTRODUCTION TO THE HOMOTOPY
THEORY OF SIMPLICIAL SETS AND TOPOS THEORY, THE BOOK COVERS CORE TOPICS
SUCH AS THE UNSTABLE HOMOTOPY THEORY OF SIMPLICIAL PRESHEAVES AND
SHEAVES, LOCALIZED THEORIES, COCYCLES, DESCENT THEORY, NON-ABELIAN
COHOMOLOGY, STACKS, AND LOCAL STABLE HOMOTOPY THEORY. A DETAILED
TREATMENT OF THE FORMALISM OF THE SUBJECT IS INTERWOVEN WITH
EXPLANATIONS OF THE MOTIVATION, DEVELOPMENT, AND NUANCES OF IDEAS AND
RESULTS. THE COHERENCE OF THE ABSTRACT THEORY IS ELUCIDATED THROUGH THE
USE OF WIDELY APPLICABLE TOOLS, SUCH AS BARR S THEOREM ON BOOLEAN
LOCALIZATION, MODEL STRUCTURES ON THE CATEGORY OF SIMPLICIAL PRESHEAVES
ON A SITE, AND COCYCLE CATEGORIES. A WEALTH OF CONCRETE EXAMPLES CONVEY
THE VITALITY AND IMPORTANCE OF THE SUBJECT IN TOPOLOGY, NUMBER THEORY,
ALGEBRAIC GEOMETRY, AND ALGEBRAIC K-THEORY. ASSUMING BASIC KNOWLEDGE OF
ALGEBRAIC GEOMETRY AND HOMOTOPY THEORY, LOCAL HOMOTOPY THEORY WILL
APPEAL TO RESEARCHERS AND ADVANCED GRADUATE STUDENTS SEEKING TO
UNDERSTAND AND ADVANCE THE APPLICATIONS OF HOMOTOPY THEORY IN MULTIPLE
AREAS OF MATHEMATICS AND THE MATHEMATICAL SCIENCES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Jardine, John F. 1951- |
| author_GND | (DE-588)121017923 |
| author_facet | Jardine, John F. 1951- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.6 |
| dewey-search | 512.6 |
| dewey-sort | 3512.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4939-2300-7 |
| format | Electronic eBook |
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| isbn | 9781493923007 |
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| spelling | Jardine, John F. 1951- Verfasser (DE-588)121017923 aut Local homotopy theory John F. Jardine New York, NY [u.a.] Springer 2015 1 Online-Ressource (IX, 508 S.) 514 illus txt rdacontent c rdamedia cr rdacarrier Springer monographs in mathematics 1439-7382 Mathematics Algebra K-theory Algebraic topology Category Theory, Homological Algebra K-Theory Algebraic Topology Mathematik Homotopietheorie (DE-588)4128142-1 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 s DE-604 Erscheint auch als Druckausgabe 978-1-4939-2299-4 https://doi.org/10.1007/978-1-4939-2300-7 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028025258&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=028025258&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Jardine, John F. 1951- Local homotopy theory Mathematics Algebra K-theory Algebraic topology Category Theory, Homological Algebra K-Theory Algebraic Topology Mathematik Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4128142-1 |
| title | Local homotopy theory |
| title_auth | Local homotopy theory |
| title_exact_search | Local homotopy theory |
| title_full | Local homotopy theory John F. Jardine |
| title_fullStr | Local homotopy theory John F. Jardine |
| title_full_unstemmed | Local homotopy theory John F. Jardine |
| title_short | Local homotopy theory |
| title_sort | local homotopy theory |
| topic | Mathematics Algebra K-theory Algebraic topology Category Theory, Homological Algebra K-Theory Algebraic Topology Mathematik Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Mathematics Algebra K-theory Algebraic topology Category Theory, Homological Algebra K-Theory Algebraic Topology Mathematik Homotopietheorie |
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