Author : James R. Munkres
Topology is a book on mathematical topology that is useful for postgraduate students of mathematics. It offers a comprehensive and lucid explanation of the fundamentals of topology. for this reason, it can also be used at the senior undergraduate level to provide a basic introduction to the core topics of topology. The content of the book is divided into two parts: general topology and algebraic topology.
This book covers both general topology and algebraic topology in an individual and in-depth manner. Every chapter in each section contains figures and solved examples that elucidate the text and help students remember the concepts easily. General topology includes topics like Set Theory and Logic, Topological Spaces and Continuous Functions, Connectedness and Compactness, Countability and Separation Axioms, The Tychonoff Theorem, Metrization Theorems and Paracompactness, Complete Metric Spaces and Function Spaces and Baire Spaces and Dimension Theory. Algebraic topology deals with concepts related to The Fundamental Group, Separation Theorems, The Seifert-van Kampen Theorem, Classification of Surfaces, Classification of Covering Spaces and Applications to Group Theory. The wide coverage of topics and fluid yet systematic organization of the book makes it easy for instructors.