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...
| Uniform Title: | Topologia. English |
|---|---|
| Main Author: | Manetti, Marco, |
| Other Authors: | Chiossi, Simon G.,, SpringerLink (Online service) |
| Format: | eBook |
| Language: | English Italian |
| Published: |
Cham :
Springer,
2015.
|
| Physical Description: |
1 online resource (xii, 309 pages) : illustrations. |
| Series: |
Unitext ;
volume 91. |
| Subjects: |
Table of Contents:
- 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
- Homotopy
- 10 The fundamental group
- 11 Covering spaces
- Monodromy
- 12 van Kampen's theorem
- 13 Selected topics in algebraic topology
- 14 Hints and solutions
- 15 References
- 16 Index.