Concise work presents topological concepts in clear, elementary fashion without sacrificing their profundity or exactness. Author proceeds from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups.
Here's a sample of other books in this Dover category
Elementary Topology: Second Edition by Michael C. Gemignani Superb introduction to metric spaces, topologies, convergence, compactness, connectedness, homotopy theory, other essentials. Numerous exercises, plus section on paracompactness and complete regularity. References. Includes 107 illustrations.
Elements of Point-Set Topology by John D. Baum Basic treatment covers preliminaries (sets, relations, etc.), topological spaces, continuous functions (mappings) and homeomorphisms, special types of topological spaces, metric spaces, more. Geometric and axiomatic approach for easier accessibility. Exercises. Bibliography.
Point Set Topology by Steven A. Gaal Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.
Introduction to Knot Theory by Richard H. Crowell, Ralph H. Fox Appropriate for advanced undergraduates and graduate students, this text by two renowned mathematicians was hailed by the Bulletin of the American Mathematical Society as "a very welcome addition to the mathematical literature." 1963 edition.
