Topology of Singular Spaces and Constructible Sheaves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2003
|
| Schriftenreihe: | Monografie Matematyczne, Instytut Matematyczny Polskiej Akademii Nauk (IMPAN)
63 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Assuming that the reader is familiar with sheaf theory, the book gives a self-contained introduction to the theory of constructible sheaves related to many kinds of singular spaces, such as cell complexes, triangulated spaces, semialgebraic and subanalytic sets, complex algebraic or analytic sets, stratified spaces, and quotient spaces. The relation to the underlying geometrical ideas are worked out in detail, together with many applications to the topology of such spaces. All chapters have their own detailed introduction, containing the main results and definitions, illustrated in simple terms by a number of examples. The technical details of the proof are postponed to later sections, since these are not needed for the applications |
| Beschreibung: | 1 Online-Ressource (X, 454 p) |
| ISBN: | 9783034880619 9783034894241 |
| DOI: | 10.1007/978-3-0348-8061-9 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8061-9 |
| format | Electronic eBook |
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| spelling | Schürmann, Jörg Verfasser aut Topology of Singular Spaces and Constructible Sheaves by Jörg Schürmann Basel Birkhäuser Basel 2003 1 Online-Ressource (X, 454 p) txt rdacontent c rdamedia cr rdacarrier Monografie Matematyczne, Instytut Matematyczny Polskiej Akademii Nauk (IMPAN) 63 Assuming that the reader is familiar with sheaf theory, the book gives a self-contained introduction to the theory of constructible sheaves related to many kinds of singular spaces, such as cell complexes, triangulated spaces, semialgebraic and subanalytic sets, complex algebraic or analytic sets, stratified spaces, and quotient spaces. The relation to the underlying geometrical ideas are worked out in detail, together with many applications to the topology of such spaces. All chapters have their own detailed introduction, containing the main results and definitions, illustrated in simple terms by a number of examples. The technical details of the proof are postponed to later sections, since these are not needed for the applications Mathematics Geometry, algebraic Algebra Algebraic topology Algebraic Geometry Category Theory, Homological Algebra Algebraic Topology Mathematik Garbentheorie (DE-588)4155956-3 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Singulärer Raum (DE-588)4181528-2 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Algebraische Topologie (DE-588)4120861-4 s Garbentheorie (DE-588)4155956-3 s Singulärer Raum (DE-588)4181528-2 s 2\p DE-604 https://doi.org/10.1007/978-3-0348-8061-9 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Schürmann, Jörg Topology of Singular Spaces and Constructible Sheaves Mathematics Geometry, algebraic Algebra Algebraic topology Algebraic Geometry Category Theory, Homological Algebra Algebraic Topology Mathematik Garbentheorie (DE-588)4155956-3 gnd Algebraische Topologie (DE-588)4120861-4 gnd Singulärer Raum (DE-588)4181528-2 gnd |
| subject_GND | (DE-588)4155956-3 (DE-588)4120861-4 (DE-588)4181528-2 (DE-588)4113937-9 |
| title | Topology of Singular Spaces and Constructible Sheaves |
| title_auth | Topology of Singular Spaces and Constructible Sheaves |
| title_exact_search | Topology of Singular Spaces and Constructible Sheaves |
| title_full | Topology of Singular Spaces and Constructible Sheaves by Jörg Schürmann |
| title_fullStr | Topology of Singular Spaces and Constructible Sheaves by Jörg Schürmann |
| title_full_unstemmed | Topology of Singular Spaces and Constructible Sheaves by Jörg Schürmann |
| title_short | Topology of Singular Spaces and Constructible Sheaves |
| title_sort | topology of singular spaces and constructible sheaves |
| topic | Mathematics Geometry, algebraic Algebra Algebraic topology Algebraic Geometry Category Theory, Homological Algebra Algebraic Topology Mathematik Garbentheorie (DE-588)4155956-3 gnd Algebraische Topologie (DE-588)4120861-4 gnd Singulärer Raum (DE-588)4181528-2 gnd |
| topic_facet | Mathematics Geometry, algebraic Algebra Algebraic topology Algebraic Geometry Category Theory, Homological Algebra Algebraic Topology Mathematik Garbentheorie Algebraische Topologie Singulärer Raum Hochschulschrift |
| url | https://doi.org/10.1007/978-3-0348-8061-9 |
| work_keys_str_mv | AT schurmannjorg topologyofsingularspacesandconstructiblesheaves |