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...
| Опубликовано в: : | Springer eBooks |
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| Главный автор: | |
| Соавтор: | |
| Формат: | Электронная книга |
| Язык: | English |
| Публикация: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
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| Серии: | UNITEXT,
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| Предметы: | |
| Online-ссылка: | http://dx.doi.org/10.1007/978-3-319-16958-3 Перейти в каталог НБ ТГУ |
Оглавление:
- 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.