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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Manetti, Marco (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:La Matematica per il 3+2, 91
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.