1666730513

Introduction to topology / Tej Bahadur Singh

Englisch

Singapore : Springer, [2019]

2019

1 Online-Ressource (xix, 452 Seiten) : Illustrationen

Erscheint auch als (Druck-Ausgabe) : ISBN 978-981-13-6953-7

978-981-13-6954-4

Weitere Ausgaben: 978-981-13-6953-7 (Druckausgabe)

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

*Functional analysis ; Topology

Klassifikation der Library of Congress: QA611-614.97

Dewey Dezimal-Klassifikation: 514;

Thema – the subject category scheme for a global book trade: PBP

Book Industry Communication: PBP

bisacsh: MAT038000

Mathematics Subject Classification: *54-01

Mathematics Subject Classification: 22Axx

Mathematics Subject Classification: 55-01

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 Spaces

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 analysis

https://zbmath.org/?q=an:1426.54001 [Zentralblatt MATH]

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https://doi.org/10.1007/978-981-13-6954-4 [E-books (Springer)]