Mod two homology and cohomology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cham [u.a.]
Springer
2014
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FRO01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource (IX, 535 S.) 9 illus |
| ISBN: | 9783319093543 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-319-09354-3 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804152927511642112 |
|---|---|
| adam_text | MOD TWO HOMOLOGY AND COHOMOLOGY
/ HAUSMANN, JEAN-CLAUDE
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
SIMPLICIAL (CO)HOMOLOGY
SINGULAR AND CELLULAR (CO)HOMOLOGIES
PRODUCTS
POINCAR´E DUALITY
PROJECTIVE SPACES
EQUIVARIANT COHOMOLOGY
STEENROD SQUARES
STIEFEL-WHITNEY CLASSES
MISCELLANEOUS APPLICATIONS AND DEVELOPMENTS
HINTS AND ANSWERS FOR SOME EXERCISES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
MOD TWO HOMOLOGY AND COHOMOLOGY
/ HAUSMANN, JEAN-CLAUDE
: 2014
ABSTRACT / INHALTSTEXT
COHOMOLOGY AND HOMOLOGY MODULO 2 HELPS THE READER GRASP MORE READILY THE
BASICS OF A MAJOR TOOL IN ALGEBRAIC TOPOLOGY. COMPARED TO A MORE GENERAL
APPROACH TO (CO)HOMOLOGY THIS REFRESHING APPROACH HAS MANY PEDAGOGICAL
ADVANTAGES: IT LEADS MORE QUICKLY TO THE ESSENTIALS OF THE SUBJECT, AN
ABSENCE OF SIGNS AND ORIENTATION CONSIDERATIONS SIMPLIFIES THE THEORY,
COMPUTATIONS AND ADVANCED APPLICATIONS CAN BE PRESENTED AT AN EARLIER
STAGE, SIMPLE GEOMETRICAL INTERPRETATIONS OF (CO)CHAINS. MOD 2
(CO)HOMOLOGY WAS DEVELOPED IN THE FIRST QUARTER OF THE TWENTIETH CENTURY
AS AN ALTERNATIVE TO INTEGRAL HOMOLOGY, BEFORE BOTH BECAME PARTICULAR
CASES OF (CO)HOMOLOGY WITH ARBITRARY COEFFICIENTS. THE FIRST CHAPTERS OF
THIS BOOK MAY SERVE AS A BASIS FOR A GRADUATE-LEVEL INTRODUCTORY COURSE
TO (CO)HOMOLOGY. SIMPLICIAL AND SINGULAR MOD 2 (CO)HOMOLOGY ARE
INTRODUCED, WITH THEIR PRODUCTS AND STEENROD SQUARES, AS WELL AS
EQUIVARIANT COHOMOLOGY. CLASSICAL APPLICATIONS INCLUDE BROUWER S FIXED
POINT THEOREM, POINCARE DUALITY, BORSUK-ULAM THEOREM, HOPF INVARIANT,
SMITH THEORY, KERVAIRE INVARIANT, ETC. THE COHOMOLOGY OF FLAG MANIFOLDS
IS TREATED IN DETAIL (WITHOUT SPECTRAL SEQUENCES), INCLUDING THE
RELATIONSHIP BETWEEN STIEFEL-WHITNEY CLASSES AND SCHUBERT CALCULUS. MORE
RECENT DEVELOPMENTS ARE ALSO COVERED, INCLUDING TOPOLOGICAL COMPLEXITY,
FACE SPACES, EQUIVARIANT MORSE THEORY, CONJUGATION SPACES, POLYGON
SPACES, AMONGST OTHERS. EACH CHAPTER ENDS WITH EXERCISES, WITH SOME
HINTS AND ANSWERS AT THE END OF THE BOOK
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Hausmann, Jean-Claude |
| author_facet | Hausmann, Jean-Claude |
| author_role | aut |
| author_sort | Hausmann, Jean-Claude |
| author_variant | j c h jch |
| building | Verbundindex |
| bvnumber | BV042325947 |
| classification_rvk | SK 320 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)902885988 (DE-599)BVBBV042325947 |
| 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 | 10.1007/978-3-319-09354-3 |
| format | Electronic eBook |
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| spelling | Hausmann, Jean-Claude Verfasser aut Mod two homology and cohomology Jean-Claude Hausmann Cham [u.a.] Springer 2014 1 Online-Ressource (IX, 535 S.) 9 illus txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Mathematics Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Homologische Algebra (DE-588)4160598-6 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Homologische Algebra (DE-588)4160598-6 s Kohomologie (DE-588)4031700-6 s Algebraische Topologie (DE-588)4120861-4 s Differentialtopologie (DE-588)4012255-4 s 1\p DE-604 Erscheint auch als Druckausgabe 978-3-319-09353-6 https://doi.org/10.1007/978-3-319-09354-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762784&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=027762784&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hausmann, Jean-Claude Mod two homology and cohomology Mathematics Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Algebraische Topologie (DE-588)4120861-4 gnd Kohomologie (DE-588)4031700-6 gnd Homologische Algebra (DE-588)4160598-6 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4031700-6 (DE-588)4160598-6 (DE-588)4012255-4 |
| title | Mod two homology and cohomology |
| title_auth | Mod two homology and cohomology |
| title_exact_search | Mod two homology and cohomology |
| title_full | Mod two homology and cohomology Jean-Claude Hausmann |
| title_fullStr | Mod two homology and cohomology Jean-Claude Hausmann |
| title_full_unstemmed | Mod two homology and cohomology Jean-Claude Hausmann |
| title_short | Mod two homology and cohomology |
| title_sort | mod two homology and cohomology |
| topic | Mathematics Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Algebraische Topologie (DE-588)4120861-4 gnd Kohomologie (DE-588)4031700-6 gnd Homologische Algebra (DE-588)4160598-6 gnd Differentialtopologie (DE-588)4012255-4 gnd |
| topic_facet | Mathematics Algebraic topology Cell aggregation / Mathematics Algebraic Topology Manifolds and Cell Complexes (incl. Diff.Topology) Mathematik Algebraische Topologie Kohomologie Homologische Algebra Differentialtopologie |
| url | https://doi.org/10.1007/978-3-319-09354-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027762784&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=027762784&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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