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＜電子ブック＞
Introduction to Topology / by Tej Bahadur Singh

版	1st ed. 2019.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2019
大きさ	XIX, 452 p. 93 illus : online resource
著者標目	*Singh, Tej Bahadur author SpringerLink (Online service)
件　名	LCSH:Topology LCSH:Functional analysis FREE:Topology FREE:Functional Analysis
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-981-13-6954-4

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