Introduction to Topology. 1st ed. 2019
- 種類:
- 電子ブック
- 責任表示:
- by Tej Bahadur Singh
- 出版情報:
- Singapore : Springer Nature Singapore : Imprint: Springer, 2019
- 著者名:
- ISBN:
- 9789811369544 [9811369542]
- 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. - ローカル注記:
- 岐阜大学構成員専用E-BOOKS (Gifu University members only)
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