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" Introduction to topology / "
Tej Bahadur Singh.
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BL
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| Record Number
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890957
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| Main Entry
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Singh, Tej Bahadur
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| Title & Author
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Introduction to topology /\ Tej Bahadur Singh.
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| Publication Statement
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Singapore :: Springer,, [2019]
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| Page. NO
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1 online resource
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| ISBN
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9789811369544
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: 9789811369551
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: 9789811369568
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: 9811369542
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: 9811369550
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: 9811369569
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9789811369537
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9811369534
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| Bibliographies/Indexes
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Includes bibliographical references and index.
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| Contents
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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.
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| Abstract
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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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| Subject
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Topology.
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| Subject
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Topology.
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| Dewey Classification
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514
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| LC Classification
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QA611.S56 2019
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