Topology

• Main Author: Manetti, Marco (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: UNITEXT, 91
• Subjects: Mathematics.; Algebraic topology.; Algebraic Topology.; Mathematics, general.

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...

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.