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Topology / by Marco Manetti

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: UNITEXT ; 91 | La Matematica per il 3+2 ; 91 | SpringerLink Bücher | Springer eBook Collection Mathematics and StatisticsPublisher: Cham : Springer, 2015Description: Online-Ressource (XII, 309 p. 72 illus, online resource)ISBN:
  • 9783319169583
Subject(s): Genre/Form: Additional physical formats: 9783319169576 | Erscheint auch als: Topology. Druck-Ausgabe Cham : Springer, 2015. xii, 309 SeitenDDC classification:
  • 514.2
MSC: MSC: *54-01 | 55-01 | 00A05 | 54Bxx | 54Dxx | 55P05RVK: RVK: SK 280LOC classification:
  • QA612-612.8
DOI: DOI: 10.1007/978-3-319-16958-3Online resources: Summary: 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 applicationsPPN: PPN: 1657330842Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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