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101 0 $aeng
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200 10$aManifolds, Sheaves, and Cohomology$b[electronic resource] /$fby Torsten Wedhorn
205   $a1st ed. 2016.
210  1$aWiesbaden :$cSpringer Fachmedien Wiesbaden :$cImprint: Springer Spektrum,$d2016.
215   $a1 online resource (XVI, 354 p. 9 illus.) 
225 1 $aSpringer Studium Mathematik - Master,$x2509-9310
311   $a3-658-10632-8 
327   $aTopological 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.
330   $aThis book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples. Content Topological Preliminaries - Algebraic Topological Preliminaries - Sheaves - Manifolds - Local Theory of Manifolds - Lie Groups - Torsors and Non-abelian Cech Cohomology - Bundles - Soft Sheaves - Cohomology of Complexes of Sheaves - Cohomology of Sheaves of Locally Constant Functions - Appendix: Basic Topology, The Language of Categories, Basic Algebra, Homological Algebra, Local Analysis Readership Graduate Students in Mathematics / Master of Science in Mathematics About the Author Prof. Dr. Torsten Wedhorn, Department of Mathematics, Technische Universität Darmstadt, Germany.
410  0$aSpringer Studium Mathematik - Master,$x2509-9310
606   $aCategory theory (Mathematics)
606   $aHomological algebra
606   $aTopological groups
606   $aLie groups
606   $aDifferential geometry
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035
606   $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
615  0$aCategory theory (Mathematics).
615  0$aHomological algebra.
615  0$aTopological groups.
615  0$aLie groups.
615  0$aDifferential geometry.
615  0$aGlobal analysis (Mathematics).
615  0$aManifolds (Mathematics).
615 14$aCategory Theory, Homological Algebra.
615 24$aTopological Groups, Lie Groups.
615 24$aDifferential Geometry.
615 24$aGlobal Analysis and Analysis on Manifolds.
676   $a516.07
700   $aWedhorn$b Torsten$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755965
801  0$bMiAaPQ
801  1$bMiAaPQ
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906   $aBOOK
912   $a9910254066503321
996   $aManifolds, sheaves, and cohomology$91523430
997   $aUNINA