Topology
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's...
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2023.
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| Ausgabe: | 2nd ed. 2023. |
| Schriftenreihe: | La Matematica per il 3+2,
153 |
| Schlagworte: | |
| Online-Zugang: | https://doi.org/10.1007/978-3-031-32142-9 |
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Inhaltsangabe:
- 1 Geometrical introduction to topology
- 2 Sets
- 3 Topological structures
- 4 Connectedness and compactness
- 5 Topological quotients
- 6 Sequences
- 7 Manifolds, infinite products and paracompactness
- 8 More topics in general topology
- 9) Intermezzo
- 10 Homotopy
- 11 The fundamental group
- 12 Covering spaces
- 13 Monodromy
- 14 van Kampen's theorem
- 15 A topological view of sheaf cohomology
- 16 Selected topics in algebraic topology
- 17 Hints and solutions.