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Introduction to Topology [electronic resource] / by Tej Bahadur Singh.

By: Singh, Tej Bahadur [author.]Material type: Text

TextPublisher: Singapore : Springer Singapore : Imprint: Springer, 2019Edition: 1st ed. 2019Description: XIX, 452 p. 93 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9789811369544Subject(s): Topology | Functional analysis | Topology | Functional AnalysisDDC classification: 514 LOC classification: QA611-614.97Online resources: Click here to access online

Contents:

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.

Summary: 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.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
e-Books	Central Library, Sikkim University	514 (Browse shelf(Opens below))	Not for loan		E-3048

Total holds: 0

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.

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