Topology

by James Munkres, John G. Hocking and Gail S. Young
Topology cover
Good Books rating 4.19
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  • ID: 7386
  • Added: 2025-12-14
  • Updated: 2025-12-14
  • Publisher: Prentice Hall
  • Published: 2000-01-01
  • Reviews: 4

Topology offers an in-depth exploration of both general and algebraic topology, making it an essential resource for anyone seeking a thorough understanding of the subject. The book is structured to provide separate, detailed coverage of each area, ensuring a comprehensive grasp of topological concepts. /n/n The text includes a wealth of examples and figures to illustrate key ideas, making complex theories more accessible. It covers a wide range of topics, from set theory and logic to the classification of surfaces and applications to group theory, providing a solid foundation in topology and its applications.

Reviews
Amazon · 2025-12-14
comprehensive 4.25

The reviewer feels that the book provides a solid and comprehensive grounding in basic topology, with problems that enhance understanding. They appreciate the book's depth and practical application.

The reviewer highlights the book's ability to provide a solid and comprehensive grounding in basic topology. They appreciate the inclusion of problems that help reinforce understanding and make the material more practical. The reviewer also notes that the book goes beyond basic topics, offering a deeper exploration of topological concepts. Overall, it is seen as a valuable resource for anyone looking to build a strong foundation in topology.

Quick quotes

    I feel that reading this book and working its problems has given me a solid and comprehensive grounding in basic topology.

    This book does go beyond what's typically covered in introductory texts.

    The problems included are particularly helpful in reinforcing understanding.

Reddit - r/math · 2021-08-01
brilliant 4.00

The book is commended for its excellent coverage of general topology, particularly quotient spaces and cell complexes. It is also noted for its substantial coverage of homology.

In this Reddit discussion, users praise Munkres' Topology for its excellent coverage of general topology, especially in areas like quotient spaces and cell complexes. They also highlight the book's substantial coverage of homology, making it a valuable resource for students and professionals in the field. The reviewer appreciates the book's comprehensive approach, which provides a solid foundation in basic topology. Overall, they find the book to be a highly recommended text for anyone looking to deepen their understanding of the subject.

Quick quotes

    It has great coverage of general topology, especially quotient spaces and cell complexes, and ends up covering quite a bit of homology, at least ...

    Since you have gotten several (unsolicited) recommendations for Hatcher, let me recommend ...

    Introductory topology textbooks for self study : r/math

Mathematical Association of America · 2014-08-04
great 4.00

The review highlights the book's depth and thorough coverage of topics like the Axiom of Choice and the Maximum Principle. It is noted for its extensive length and detailed explanations.

The reviewer from the Mathematical Association of America provides a detailed overview of Munkres' Topology, emphasizing its depth and thorough coverage of key topics. They appreciate the book's extensive length, which allows for a more in-depth exploration of subjects like the Axiom of Choice and the Maximum Principle. The reviewer also notes that the book's detailed explanations make it a valuable resource for anyone looking to gain a comprehensive understanding of topology. Overall, they find the book to be a solid and reliable text for advanced study in the field.

Quick quotes

    It is more than 70 pages long, and goes into some depth on things like the Axiom of Choice, Maximum Principle and well-ordering.

    This book is lucid and is well-written. It provides much intuition and is nicely illustrated.

    Munkres was one of my earliest authors on study of topology.

Math Tuition 88 · 2013-11-18
excellent 4.50

This book is praised as the best introductory text on topology, suitable for upper undergraduate or graduate courses. It is considered a comprehensive and well-structured resource for learning the subject.

This reviewer believes that Munkres' Topology is the best introductory book on the subject, making it an excellent choice for upper undergraduate or graduate courses. They appreciate the book's comprehensive coverage and well-structured approach, which makes it a valuable resource for anyone looking to learn topology. The book is also noted for its clear explanations and helpful illustrations, which make complex concepts more accessible. Overall, it is highly recommended for anyone interested in studying topology.

Quick quotes

    This book is the best introductory book on Topology, an upper undergraduate/graduate course taken in university.

    I have written a short book review on it.

    This book is lucid and is well-written. It provides much intuition and is nicely illustrated.

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