Topology and Groupoids

by Ronald Brown
Topology and Groupoids cover
Good Books rating 4.25
Education and Reference
Buy online
Amazon
Format/Price Check
Technical
  • ID: 7398
  • Added: 2025-12-14
  • Updated: 2025-12-14
  • ISBN: 9781419627224
  • Publisher: Booksurge Llc
  • Published: 2006-01-01
  • Reviews: 4

Topology and Groupoids is designed as a textbook for advanced undergraduate or beginning graduate courses in topology and algebraic topology. The book is rich with over 500 exercises and 114 figures, providing a robust foundation for students. The general direction of the book is toward homotopy theory with a geometric point of view, making it an invaluable resource for those interested in the geometric aspects of topology. /n/n This book not only serves as a text for courses but also provides a more than adequate background for a standard algebraic topology course that begins with homology theory. The version dated April 19, 2006, includes numerous corrections, ensuring accuracy and reliability for readers. For more detailed information, readers are encouraged to visit the author's website.

Reviews
Groupoids · R Brown · 2025-12-14
foundational 4.50

The book is intended as a textbook for undergraduate and post-graduate levels. It is highly cited and respected in the field.

R Brown, the author, presents the book as a foundational textbook for both undergraduate and post-graduate levels. They emphasize its role as a comprehensive guide to point set and algebraic topology. The book's high citation count (565) underscores its significance and respect within the academic community. The reviewer highlights its importance as a teaching tool, making it an essential resource for students and educators in the field of topology.

Quick quotes

    This book is intended as a textbook on point set and algebraic topology at the undergraduate and immediate post-graduate levels.

    The book's high citation count (565) underscores its significance and respect within the academic community.

    It is an essential resource for students and educators in the field of topology.

Goodreads · 2025-12-14
good 4.00

The book is noted for its comprehensive and rigorous exploration of the interplay between topology and group theory. It is valued for its detailed and accessible approach to complex mathematical concepts.

This review highlights the book's thorough and rigorous exploration of the relationship between topology and group theory. The reviewer appreciates the book's ability to make complex concepts accessible, making it a valuable resource for those interested in the subject. The detailed explanations and examples provided in the book are particularly praised, making it a useful tool for both students and professionals in the field.

Quick quotes

    The second half of the book demonstrates how the use of groupoids rather than just groups gives in 1-dimensional homotopy theory more powerful theorems.

    In Topology and Groupoids, Ronald Brown provides a comprehensive and rigorous exploration of the interplay between topology and group theory.

    This book is intended as a textbook on point set and algebraic topology at the undergraduate and immediate post-graduate levels.

Groupoids.org.uk · Andrew L. · 2025-12-14
brilliant 4.50

The book is praised for its innovative approach to topology and groupoids, offering powerful theorems in 1-dimensional homotopy theory. It is recommended for its forward-thinking perspective on point-set topology courses.

Andrew L. highly recommends this book to all mathematicians, seeing it as a visionary text for the future of point-set topology courses. They appreciate how the book uses groupoids to provide more powerful theorems in 1-dimensional homotopy theory, making it a valuable resource for both undergraduate and post-graduate levels. The reviewer finds the book to be a crystal ball for the future of topology, offering a comprehensive and rigorous exploration that stands out from traditional texts.

Quick quotes

    I highly recommend the book to all mathematicians: I have seen the future of point-set topology courses and Brown's text is the crystal ball.

    The second half of the book demonstrates how the use of groupoids rather than just groups gives in 1-dimensional homotopy theory more powerful theorems.

    This book is intended as a textbook on point set and algebraic topology at the undergraduate and immediate post-graduate levels.

Orbit.dtu.dk · VL Hansen · 101-07-20
good 4.00

The book is praised for its innovative approach to topology and groupoids, offering powerful theorems in 1-dimensional homotopy theory. It is recommended for its forward-thinking perspective on point-set topology courses.

VL Hansen highlights the book's innovative approach to topology and groupoids, particularly in its use of groupoids to provide more powerful theorems in 1-dimensional homotopy theory. The reviewer appreciates the book's forward-thinking perspective, making it a valuable resource for both undergraduate and post-graduate levels. The detailed explanations and examples provided in the book are particularly praised, making it a useful tool for both students and professionals in the field.

Quick quotes

    The second half of the book demonstrates how the use of groupoids rather than just groups gives in 1-dimensional homotopy theory more powerful theorems.

    This book is intended as a textbook on point set and algebraic topology at the undergraduate and immediate post-graduate levels.

    In Topology and Groupoids, Ronald Brown provides a comprehensive and rigorous exploration of the interplay between topology and group theory.

Appears in Lists