Topology (English Edition. 2nd Edition)

Author: (USA) Mok
Publisher:
Publish Date: 2005-01-01
Features: The author of this book is renowned in the field of topology. 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 set theory, topological spaces, connectivity, compactness, and countability and separation axioms as core topics. The last four chapters are supplementary material. Part II: Algebraic Topology, which discusses themes related to the core topics of topology, including fundamental groups and covering spaces and their applications. The greatest feature of this book lies in its clear exposition and rigorous proofs, striving to ensure readers fully understand. For difficult reasoning and proofs, they are broken down into simplified steps, leaving no room for confusion for the readers. Additionally, the book provides a large number of exercises to reinforce and deepen the learning effect. 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 set theory, topological spaces, connectivity, compactness, and countability and separation axioms as core topics. The last four chapters are supplementary material. Part II: Algebraic Topology, which discusses themes related to the core topics of topology, including fundamental groups and covering spaces and their applications. The greatest feature of this book lies in its clear exposition and rigorous proofs, striving to ensure readers fully understand. For difficult reasoning and proofs, they are broken down into simplified steps, leaving no room for confusion for the readers. Additionally, the book provides a large number of exercises to reinforce and deepen the learning effect. Rigorous arguments, clear organization, and abundant examples make the profound topology easy to learn.