Brown, Ronald

Topology And Groupoids [Illustrated]

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ISBN 13:
9781419627224
author:
Brown, Ronald
format:
Paperback
publisher:
Booksurge Llc
language:
English
Publication Year:
2006
Pages:
538
Dimensions:
22.4 x 15.2 x 3.6 cm
Genre:
Mathematics Textbook
Condition:
New
Availability:
Item usually sent within 7 working days
£30.91

Description

Topology and Groupoids by Ronald Brown provides a comprehensive exploration of topological spaces and their properties. The author's approach is rooted in the desire to construct continuous functions, leading to clearer and simpler proofs. This edition offers an updated treatment of finite cell complexes, including projective spaces in real, complex, and quaternionic cases. The book delves into the modern categorical spirit, presenting a full treatment of general topology, including the topology for function spaces using the test-open topology from compact Hausdorff spaces. The second half of the book focuses on groupoids, demonstrating how this approach yields more powerful theorems with simpler proofs in 1-dimensional homotopy theory. A key aspect of the book is its development of the fundamental groupoid on a set of base points, including background in category theory. This detailed exposition provides a solid foundation for understanding advanced topics in topology and groupoids.

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