Introduction to topology / Tej Bahadur Singh

By:

Singh, Tej Bahadur [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer eBooks Mathematics and Statistics | Springer eBook CollectionPublisher: Singapore : Springer, [2019]Copyright date: © 2019Description: 1 Online-Ressource (xix, 452 Seiten) : IllustrationenISBN:

9789811369544

Subject(s):

Additional physical formats: 9789811369537 | Erscheint auch als: 978-981-13-6953-7 Druck-AusgabeMSC: MSC: *54-01 | 22Axx | 55-01LOC classification:

QA611-614.97

DOI: DOI: 10.1007/978-981-13-6954-4Online resources:

Summary: Chapter 1. Topological Spaces -- Chapter 2. Continuity and Products -- Chapter 3. Connectedness -- Chapter 4. Convergence -- Chapter 5. Countability axioms -- Chapter 6. Compactness -- Chapter 7. Topological Constructions -- Chapter 8. Separation Axioms -- Chapter 9. Paracompactness and Metrisability -- Chapter 10. Completeness -- Chapter 11. Function Spaces -- Chapter 12. Topological Groups -- Chapter 13. Transformation Groups -- Chapter 14. The fundamental Group -- Chapter 15. Covering SpacesSummary: Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysisPPN: PPN: 1666730513Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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