Elements of homology theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, RI
American Math. Soc.
2007
|
| Series: | Graduate studies in mathematics
81 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 418 S. graph. Darst. |
| ISBN: | 9780821838129 0821838121 |
Staff View
MARC
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| 240 | 1 | 0 | |a Ėlementy teorii gomologij |
| 245 | 1 | 0 | |a Elements of homology theory |c V. V. Prasolov |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2007 | |
| 300 | |a IX, 418 S. |b graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Graduate studies in mathematics |v 81 | |
| 650 | 4 | |a Homology theory | |
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| 787 | 0 | 8 | |i Erg. zu |a Prasolov, Viktor V. |t Elements of combinatorial and differential topology |
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Record in the Search Index
| _version_ | 1804138543020244992 |
|---|---|
| adam_text | Contents
Preface
vii
Notation ix
Chapter
1.
Simplicial Homology
1
§1.
Definition and Some Properties
1
§2.
Invariance
of Homology
6
§3.
Relative Homology
12
§4.
Cohomology and Universal Coefficient Theorem
21
§5.
Calculations
35
§6.
The
Euler
Characteristic and the Lefschetz Theorem
51
Chapter
2.
Cohomology Rings
59
§1.
Multiplication in Cohomology
59
§2.
Homology and Cohomology of Manifolds
69
§3.
The Kiinneth Theorem
95
Chapter
3.
Applications of Simplicial Homology 111
§1.
Homology and Homotopy 111
§2.
Characteristic Classes
131
§3.
Group Actions
173
§4.
Steenrod Squares
184
Chapter
4.
Singular Homology
195
§1.
Basic Definitions and Properties
195
vi
Contents
§2.
The Poincaré
and Lefschetz Isomorphisms for Topological
Manifolds
227
§3.
Characteristic Classes: Continuation
252
Chapter
5.
Čech
Cohomology and
de Rham
Cohomology
263
§1.
Sheaf Cohomology
263
§2.
De Rham
Cohomology
275
§3.
The
de Rham
Theorem
289
Chapter
6.
Miscellany
301
§1.
The Alexander Polynomial
301
§2.
The Arf Invariant
317
§3.
Embeddings and Immersions
325
§4.
Complex Manifolds
339
§5.
Lie Groups and
iř-Spaces
344
Hints and Solutions
365
Bibliography
403
Index
411
|
| any_adam_object | 1 |
| author | Prasolov, Viktor V. 1956- |
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| classification_rvk | SK 320 |
| ctrlnum | (OCoLC)76821089 (DE-599)BSZ263607054 |
| dewey-full | 514.23 514/.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
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| dewey-search | 514.23 514/.23 |
| dewey-sort | 3514.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035260295 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:29:51Z |
| institution | BVB |
| isbn | 9780821838129 0821838121 |
| language | English Russian |
| lccn | 2006047074 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017065842 |
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| owner | DE-355 DE-BY-UBR DE-703 DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-703 DE-188 |
| physical | IX, 418 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Graduate studies in mathematics |
| series2 | Graduate studies in mathematics |
| spelling | Prasolov, Viktor V. 1956- Verfasser (DE-588)129271977 aut Ėlementy teorii gomologij Elements of homology theory V. V. Prasolov Providence, RI American Math. Soc. 2007 IX, 418 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate studies in mathematics 81 Homology theory Homologietheorie (DE-588)4141714-8 gnd rswk-swf Homologietheorie (DE-588)4141714-8 s DE-604 Erg. zu Prasolov, Viktor V. Elements of combinatorial and differential topology Graduate studies in mathematics 81 (DE-604)BV009739289 81 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017065842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Prasolov, Viktor V. 1956- Elements of homology theory Graduate studies in mathematics Homology theory Homologietheorie (DE-588)4141714-8 gnd |
| subject_GND | (DE-588)4141714-8 |
| title | Elements of homology theory |
| title_alt | Ėlementy teorii gomologij |
| title_auth | Elements of homology theory |
| title_exact_search | Elements of homology theory |
| title_full | Elements of homology theory V. V. Prasolov |
| title_fullStr | Elements of homology theory V. V. Prasolov |
| title_full_unstemmed | Elements of homology theory V. V. Prasolov |
| title_short | Elements of homology theory |
| title_sort | elements of homology theory |
| topic | Homology theory Homologietheorie (DE-588)4141714-8 gnd |
| topic_facet | Homology theory Homologietheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017065842&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009739289 |
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