Paperback / softback
Description
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; connectedness and compactness; Alexandrov compactification; quotient topologies; 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.
It is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.
Information
-
Less than 10 available - usually despatched within 24 hours
- Format:Paperback / softback
- Pages:309 pages, 72 Illustrations, black and white; XII, 309 p. 72 illus.
- Publisher:Springer International Publishing AG
- Publication Date:10/06/2015
- Category:
- ISBN:9783319169576
Other Formats
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- Paperback / softback from £50.45
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Information
-
Less than 10 available - usually despatched within 24 hours
- Format:Paperback / softback
- Pages:309 pages, 72 Illustrations, black and white; XII, 309 p. 72 illus.
- Publisher:Springer International Publishing AG
- Publication Date:10/06/2015
- Category:
- ISBN:9783319169576
