Introduction to Topology

Authors: Singh, Tej Bahadur

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  • Collects over 240 solved examples and counterexamples with applications
  • Includes numerous end-of-chapter comprehension problems 
  • Presents a lucid exposition of proofs of theorems 
  • Includes a solutions manual for instructors
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  • ISBN 978-981-13-6954-4
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About this Textbook

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.

About the authors

TEJ BAHADUR SINGH is an Emeritus Professor at the Department of Mathematics, University of Delhi, India, which he joined in 1989. Earlier, he served at the University of Allahabad and Atarra P.G. College, Banda, India. He received his Ph.D. from the University of Allahabad in 1983. With more than 40 years of teaching experience, he has written several research articles on the cohomological theory of compact transformation groups and has successfully guided eight M.Phil. and Ph.D. students. His primary research interest is in algebraic topology. He has taught various courses, including point-set topology, field theory, module theory, representation of finite groups, algebra, calculus, geometry, linear algebra, and real analysis.

Table of contents (15 chapters)

Table of contents (15 chapters)

Buy this book

eBook $44.99
price for USA in USD (gross)
  • ISBN 978-981-13-6954-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA in USD
  • ISBN 978-981-13-6953-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to Topology
Authors
Copyright
2019
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-13-6954-4
DOI
10.1007/978-981-13-6954-4
Hardcover ISBN
978-981-13-6953-7
Edition Number
1
Number of Pages
XIX, 452
Number of Illustrations
93 b/w illustrations
Topics