Basic Topology

by M.A. Armstrong
Basic Topology cover
Good Books rating 3.87
Education and Reference
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  • ID: 7423
  • Added: 2025-12-14
  • Updated: 2025-12-14
  • ISBN: 9781475717938
  • Publisher: Springer Science & Business Media
  • Published: 2013-04-09
  • Reviews: 3

In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. /n/n Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject. This book is an essential resource for anyone looking to delve into the intricacies of topology.

Reviews
Reddit - r/math · 2015-01-01
good 3.50

The book provides a solid foundation in topology with good exercises, but it is not encyclopedic and some important facts are left to the exercises.

This book is well-regarded for its clear and accessible introduction to topology. It offers a solid foundation and includes a variety of exercises that help reinforce the concepts. However, it is not an encyclopedic reference, and some important facts are only discussed in the exercises, which might require additional effort to fully grasp. The book is praised for its practical approach, making it a good choice for beginners who want to get a hands-on understanding of topology.

Quick quotes

    Gave a solid foundation, had some good exercises.

    Not encyclopedic -- some important facts in the exercises, others not discussed.

    Also don't expect to find everything in the text.

Math StackExchange · 2010-10-22
excellent 4.50

The book is highly recommended for beginners, offering a free PDF version and a print version with hints, making it an excellent resource for learning topology.

This book is highly recommended for those new to topology. It is available for free as a PDF, which is a great resource for self-learners. The print version comes with hints, making it even more accessible. The book is praised for its clarity and the way it introduces complex concepts in a digestible manner. It is a valuable resource for anyone looking to get started in topology, especially those who prefer a more hands-on approach.

Quick quotes

    This is a really awesome book!

    Best of all, it's provided free (but without any solutions).

    There is a print version, which comes with hints and solutions.

Goodreads · 1979-01-01
good 3.60

The book is a broad introduction to topology, focusing on topological invariants and techniques for calculating them, and is well-received by readers.

This book provides a comprehensive introduction to topology, focusing on the search for topological invariants and the techniques used to calculate them. Readers appreciate the broad scope and the practical approach taken by the author. The book is well-structured and offers a good balance between theory and application, making it suitable for both beginners and those looking to deepen their understanding of topology. The exercises and examples included are particularly helpful in reinforcing the concepts discussed.

Quick quotes

    In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them.

    The closest I can get to what you are asking for here is Network Topology.

    Basic Topology by MA Armstrong is a shortcut and a very good one at that.

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