Elements of algebraic topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Reading, Mass. [u.a.]
Addison-Wesley
1994
|
| Ausgabe: | 8. printing |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 454 S. graph. Darst. |
| ISBN: | 0201045869 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV010631491 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | t | ||
| 008 | 960226s1994 d||| |||| 00||| eng d | ||
| 020 | |a 0201045869 |9 0-201-04586-9 | ||
| 035 | |a (OCoLC)258116764 | ||
| 035 | |a (DE-599)BVBBV010631491 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 | ||
| 084 | |a SK 300 |0 (DE-625)143230: |2 rvk | ||
| 100 | 1 | |a Munkres, James R. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Elements of algebraic topology |c James R. Munkres |
| 250 | |a 8. printing | ||
| 264 | 1 | |a Reading, Mass. [u.a.] |b Addison-Wesley |c 1994 | |
| 300 | |a IX, 454 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | 7 | |a Algebraische Topologie |0 (DE-588)4120861-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Algebraische Topologie |0 (DE-588)4120861-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007092509&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-007092509 | ||
Datensatz im Suchindex
| _version_ | 1804125106111250432 |
|---|---|
| adam_text | ELEMENTS OF ALGEBRAICTOPOLOGY JAMES R. MUNKRES MASSACHUSETTS INSTITUTE
OF TECHNOLOGY CAMBRIDGE, MASSACHUSETTS ADDISON-WESLEY PUBLISHING COMPANY
THE ADVANCED BOOK PROGRAM READING, MASSACHUSETTS * MENLO PARK,
CALIFORNIA * NEW YORK * DON MILLS, ONTARIO WOKINGHAM, ENGLAND *
AMSTERDAM * BONN * SYDNEY * SINGAPORE * TOKYO * MADRID SAN JUAN * PARIS
* SEOUL * MILAN * MEXICO CITY * TAIPEI CONTENTS 1 PREFACE VII CHAPTER 1
HOMOLOGY GROUPS OF A SIMPLICIAL COMPLEX 1 §1 SIMPLICES 2 §2 SIMPLICIAL
COMPLEXES AND SIMPLICIAL MAPS 7 §3 ABSTRACT SIMPLICIAL COMPLEXES 15 §4
REVIEW OF ABELIAN GROUPS 20 §5 HOMOLOGY GROUPS 26 §6 HOMOLOGY GROUPS OF
SURFACES 33 §7 ZERO-DIMENSIONAL HOMOLOGY 41 §8 THE HOMOLOGY OF A CONE 43
§9 RELATIVE HOMOLOGY 47 *§10 HOMOLOGY WITH ARBITRARY COEFFICIENTS 51
*§11 THE COMPUTABILITY OF HOMOLOGY GROUPS 53 §12 HOMOMORPHISMS INDUCED
BY SIMPLICIAL MAPS 62 §13 CHAIN COMPLEXES AND ACYCLIC CARRIERS 71
CHAPTER 2 TOPOLOGICAL INVARIANCE OF THE HOMOLOGY GROUPS 79 §14
SIMPLICIAL APPROXIMATIONS 80 §15 BARYCENTRIC SUBDIVISION 83 TR RHE
SECTIONS MARKED WITH AN ASTERISK CAN BE OMITTED OR POSTPONED UNTIL
NEEDED. CHAPTER 2 CAN BE OMITTED. III IV CONTENTS §16 THE SIMPLICIAL
APPROXIMATION THEOREM 89 § 17 THE ALGEBRA OF SUBDIVISION 95 §18
TOPOLOGICAL INVARIANCE OF THE HOMOLOGY GROUPS 100 §19 HOMOMORPHISMS
INDUCED BY HOMOTOPIC MAPS 103 §20 REVIEW OF QUOTIENT SPACES 111 *§21
APPLICATION: MAPS OF SPHERES 116 *§22 APPLICATION: THE LEFSCHETZ
FIXED-POINT THEOREM 121 CHAPTER 3 RELATIVE HOMOLOGY AND THE
EILENBERG-STEENROD AXIOMS 129 §23 THE EXACT HOMOLOGY SEQUENCE 129 §24
THE ZIG-ZAG LEMMA 136 §25 MAYER-VIETORIS SEQUENCES 142 §26 THE
EILENBERG-STEENROD AXIOMS 145 §27 THE AXIOMS FOR SIMPLICIAL THEORY 149
*§28 CATEGORIES AND FUNCTORS 154 CHAPTER 4 SINGULAR HOMOLOGY THEORY 161
§29 THE SINGULAR HOMOLOGY GROUPS 162 §30 THE AXIOMS FOR SINGULAR THEORY
168 §31 EXCISION IN SINGULAR HOMOLOGY 175 *§32 ACYCLIC MODELS 183 §33
MAYER-VIETORIS SEQUENCES 186 §34 THE ISOMORPHISM BETWEEN SIMPLICIAL AND
SINGULAR HOMOLOGY 190 *§35 APPLICATION: LOCAL HOMOLOGY GROUPS AND
MANIFOLDS 196 *§36 APPLICATION: THE JORDAN CURVE THEOREM 202 §37 MORE ON
QUOTIENT SPACES 209 §38 CW COMPLEXES 214 §39 THE HOMOLOGY OF CW
COMPLEXES 222 *§40 APPLICATION: PROJECTIVE SPACES AND LENS SPACES^ 231
CHAPTER 5 COHOMOLOG Y 245 §41 THE HOM FUNCTOR 245 §42 SIMPLICIAL
COHOMOLOGY GROUPS 251 §43 RELATIVE COHOMOLOGY 257 §44 COHOMOLOGY THEORY
262 §45 THE COHOMOLOGY OF FREE CHAIN COMPLEXES 270 CONTENTS V *§46 CHAIN
EQUIVALENCES IN FREE CHAIN COMPLEXES 279 §47 THE COHOMOLOGY OF CW
COMPLEXES 281 §48 CUP PRODUCTS 285 §49 COHOMOLOGY RINGS OF SURFACES 292
CHAPTER 6 HOMOLOGY WITH COEFFICIENTS 299 §50 TENSOR PRODUCTS 299 §51
HOMOLOGY WITH ARBITRARY COEFFICIENTS 307 CHAPTER 7 HOMOLOGICAL ALGEBRA
313 §52 THE EXT FUNCTOR 314 §53 THE UNIVERSAL COEFFICIENT THEOREM FOR
COHOMOLOGY 320 §54 TORSION PRODUCTS 327 §55 THE UNIVERSAL COEFFICIENT
THEOREM FOR HOMOLOGY 332 *§56 OTHER UNIVERSAL COEFFICIENT THEOREMS 334
§57 TENSOR PRODUCTS OF CHAIN COMPLEXES 338 §58 THE KUENNETH THEOREM 341
§59 THE EILENBERG-ZILBER THEOREM 350 *§60 THE KUENNETH THEOREM FOR
COHOMOLOGY 353 *§61 APPLICATION: THE COHOMOLOGY RING OF A PRODUCT SPACE
360 CHAPTER 8 DUALITY IN MANIFOLDS 367 §62 THE JOIN OF TWO COMPLEXES 368
§63 HOMOLOGY MANIFOLDS 374 §64 THE DUAL BLOCK COMPLEX 377 §65 POINCARE
DUALITY 382 §66 CAP PRODUCTS 388 §67 A SECOND PROOF OF POINCARE DUALITY
394 *§68 APPLICATION: COHOMOLOGY RINGS OF MANIFOLDS 399 *§69
APPLICATION: HOMOTOPY CLASSIFICATION OF LENS SPACES 408 §70 LEFSCHETZ
DUALITY 414 §71 ALEXANDER DUALITY 424 §72 NATURAL VERSIONS OF
LEFSCHETZ AND ALEXANDER DUALITY 426 §73 CECH COHOMOLOGY 433 §74
ALEXANDER-PONTRYAGIN DUALITY 445 BIBLIOGRAPHY INDEX 447 449
|
| any_adam_object | 1 |
| author | Munkres, James R. |
| author_facet | Munkres, James R. |
| author_role | aut |
| author_sort | Munkres, James R. |
| author_variant | j r m jr jrm |
| building | Verbundindex |
| bvnumber | BV010631491 |
| classification_rvk | SK 300 |
| ctrlnum | (OCoLC)258116764 (DE-599)BVBBV010631491 |
| discipline | Mathematik |
| edition | 8. printing |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01194nam a2200325 c 4500</leader><controlfield tag="001">BV010631491</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">960226s1994 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0201045869</subfield><subfield code="9">0-201-04586-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)258116764</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010631491</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Munkres, James R.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Elements of algebraic topology</subfield><subfield code="c">James R. Munkres</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">8. printing</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Reading, Mass. [u.a.]</subfield><subfield code="b">Addison-Wesley</subfield><subfield code="c">1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">IX, 454 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Topologie</subfield><subfield code="0">(DE-588)4120861-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Algebraische Topologie</subfield><subfield code="0">(DE-588)4120861-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">GBV Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007092509&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007092509</subfield></datafield></record></collection> |
| id | DE-604.BV010631491 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:56:17Z |
| institution | BVB |
| isbn | 0201045869 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007092509 |
| oclc_num | 258116764 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR |
| physical | IX, 454 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Addison-Wesley |
| record_format | marc |
| spelling | Munkres, James R. Verfasser aut Elements of algebraic topology James R. Munkres 8. printing Reading, Mass. [u.a.] Addison-Wesley 1994 IX, 454 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007092509&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Munkres, James R. Elements of algebraic topology Algebraische Topologie (DE-588)4120861-4 gnd |
| subject_GND | (DE-588)4120861-4 |
| title | Elements of algebraic topology |
| title_auth | Elements of algebraic topology |
| title_exact_search | Elements of algebraic topology |
| title_full | Elements of algebraic topology James R. Munkres |
| title_fullStr | Elements of algebraic topology James R. Munkres |
| title_full_unstemmed | Elements of algebraic topology James R. Munkres |
| title_short | Elements of algebraic topology |
| title_sort | elements of algebraic topology |
| topic | Algebraische Topologie (DE-588)4120861-4 gnd |
| topic_facet | Algebraische Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007092509&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT munkresjamesr elementsofalgebraictopology |