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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
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