000 01919nam 2200325| 4500
001 84637
005 20200206145123.0
010 _a978-3-658-10633-1
_dcompra
090 _a84637
100 _a20190128d2016 k||y0pory50 ba
101 _aeng
102 _aDE
200 _aManifolds, sheaves, and cohomology
_bDocumento eletrónico
_fTorsten Wedhorn
210 _aWiesbaden
_cSpringer
_d2016
215 _aXVI, 354 p.
_cil.
225 _aSpringer Studium Mathematik
_eMaster
300 _aColocação: Online
303 _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 _x2509-9310
606 _aÁlgebra
606 _aGrupos topológicos
606 _aGeometria diferencial global
606 _aAnálise global (Matemática)
680 _aQA169
700 _aWedhorn
_bTorsten
801 _gRPC
_aPT
856 _uhttps://doi.org/10.1007/978-3-658-10633-1
942 _2lcc
_cF
_n0