Introduction to Topology
- ISBN-10
- 9811369542
- ISBN-13
- 9789811369544
- Series
- Introduction to Topology
- Category
- Mathematics
- Pages
- 452
- Language
- English
- Published
- 2019-05-17
- Publisher
- Springer
- Author
- Tej Bahadur Singh
Description
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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