Topology (English Edition, 2nd Edition)

Author: Massachusetts Institute of Technology
Publisher:
Publish Date: 2005-10-01
Features: The biggest feature of this book lies in its clear exposition and rigorous proof of theories, striving to ensure that readers fully understand. For difficult reasoning and proofs, they are broken down into simplified steps, leaving no room for confusion. Additionally, the book provides a large number of exercises to reinforce the learning of deep topology. Rigorous arguments, clear organization, and abundant examples make the profound topology easy to learn. The book is divided into two independent parts. Part I: General Topology, which covers the content of point-set topology: the first four chapters serve as an introduction to topology, introducing the core subject of set theory, topological spaces, connectedness, compactness, and separability; the last four chapters are supplementary topics. The second part, Algebraic Topology, discusses themes related to the core subject of topology, including fundamental groups and covering spaces and their applications. The biggest feature of this book lies in its clear exposition and rigorous proof of theories, striving to ensure that readers fully understand. For difficult reasoning and proofs, they are broken down into simplified steps, leaving no room for confusion. Additionally, the book provides a large number of exercises to reinforce the learning of deep topology. Rigorous arguments, clear organization, and abundant examples make the profound topology easy to learn.