語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Manifolds, Sheaves, and Cohomology
~
SpringerLink (Online service)
Manifolds, Sheaves, and Cohomology
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Manifolds, Sheaves, and Cohomology/ by Torsten Wedhorn.
作者:
Wedhorn, Torsten.
面頁冊數:
XVI, 354 p. 9 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Category theory (Mathematics). -
電子資源:
https://doi.org/10.1007/978-3-658-10633-1
ISBN:
9783658106331
Manifolds, Sheaves, and Cohomology
Wedhorn, Torsten.
Manifolds, Sheaves, and Cohomology
[electronic resource] /by Torsten Wedhorn. - 1st ed. 2016. - XVI, 354 p. 9 illus.online resource. - Springer Studium Mathematik - Master,2509-9310. - Springer Studium Mathematik - Master,.
Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohomology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis.
This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples. Content Topological Preliminaries - Algebraic Topological Preliminaries - Sheaves - Manifolds - Local Theory of Manifolds - Lie Groups - Torsors and Non-abelian Cech Cohomology - Bundles - Soft Sheaves - Cohomology of Complexes of Sheaves - Cohomology of Sheaves of Locally Constant Functions - Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis Readership Graduate Students in Mathematics / Master of Science in Mathematics About the Author Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany.
ISBN: 9783658106331
Standard No.: 10.1007/978-3-658-10633-1doiSubjects--Topical Terms:
1255325
Category theory (Mathematics).
LC Class. No.: QA169
Dewey Class. No.: 512.6
Manifolds, Sheaves, and Cohomology
LDR
:02781nam a22004095i 4500
001
980026
003
DE-He213
005
20200706133107.0
007
cr nn 008mamaa
008
201211s2016 gw | s |||| 0|eng d
020
$a
9783658106331
$9
978-3-658-10633-1
024
7
$a
10.1007/978-3-658-10633-1
$2
doi
035
$a
978-3-658-10633-1
050
4
$a
QA169
072
7
$a
PBC
$2
bicssc
072
7
$a
MAT002010
$2
bisacsh
072
7
$a
PBC
$2
thema
072
7
$a
PBF
$2
thema
082
0 4
$a
512.6
$2
23
100
1
$a
Wedhorn, Torsten.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1111780
245
1 0
$a
Manifolds, Sheaves, and Cohomology
$h
[electronic resource] /
$c
by Torsten Wedhorn.
250
$a
1st ed. 2016.
264
1
$a
Wiesbaden :
$b
Springer Fachmedien Wiesbaden :
$b
Imprint: Springer Spektrum,
$c
2016.
300
$a
XVI, 354 p. 9 illus.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
490
1
$a
Springer Studium Mathematik - Master,
$x
2509-9310
505
0
$a
Topological Preliminaries -- Algebraic Topological Preliminaries -- Sheaves -- Manifolds -- Local Theory of Manifolds -- Lie Groups -- Torsors and Non-abelian Cech Cohomology -- Bundles -- Soft Sheaves -- Cohomology of Complexes of Sheaves -- Cohomology of Sheaves of Locally Constant Functions -- Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis.
520
$a
This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples. Content Topological Preliminaries - Algebraic Topological Preliminaries - Sheaves - Manifolds - Local Theory of Manifolds - Lie Groups - Torsors and Non-abelian Cech Cohomology - Bundles - Soft Sheaves - Cohomology of Complexes of Sheaves - Cohomology of Sheaves of Locally Constant Functions - Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis Readership Graduate Students in Mathematics / Master of Science in Mathematics About the Author Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany.
650
0
$a
Category theory (Mathematics).
$3
1255325
650
0
$a
Homological algebra.
$3
1255326
650
0
$a
Topological groups.
$3
885827
650
0
$a
Lie groups.
$3
527929
650
0
$a
Differential geometry.
$3
882213
650
0
$a
Global analysis (Mathematics).
$3
1255807
650
0
$a
Manifolds (Mathematics).
$3
1051266
650
1 4
$a
Category Theory, Homological Algebra.
$3
678397
650
2 4
$a
Topological Groups, Lie Groups.
$3
672074
650
2 4
$a
Differential Geometry.
$3
671118
650
2 4
$a
Global Analysis and Analysis on Manifolds.
$3
672519
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783658106324
776
0 8
$i
Printed edition:
$z
9783658106348
830
0
$a
Springer Studium Mathematik - Master,
$x
2509-9310
$3
1272967
856
4 0
$u
https://doi.org/10.1007/978-3-658-10633-1
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入