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Book synopsis

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 lemma; topological spaces and continuous functions; con- nectedness and compactness; Alexandrov compactification; quotient topol- ogies; countability and separation axioms; prebasis and Alexander's theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk's theorems; free groups and free product of groups and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. This second edition  contains a new chapter with a topological introduction to sheaf cohomology and applications. It also corrects  some inaccuracies and some additional exercises are proposed.The textbook is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.

Book details

Book category Books in English Mathematics & science Mathematics Topology

• Full title: Topology
• Author: Marco Manetti
• Language: English
• Binding: Paperback
• EAN: 9783031321412
• ID: 43189756
• Publisher: Springer, Berlin
• Dimensions: 235 × 155 mm
• Date of publishing: 11. October 2023

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