Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Its treatment encompasses two broad areas of topology: "continuous topology," represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and "geometric topology," covered by nine sections on connectivity properties, topological characterization theorems, and homotopy theory. Many standard spaces are introduced in the related problems that accompany each section (340 exercises in all). The text's value as a reference work is enhanced by a collection of historical notes, a bibliography, and index. 1970 edition. 27 figures.
A formal, comprehensive but concise treatment of point-set topology with well-crafted problems. I think this is quite a good reference on the subject for advanced undergraduate and graduate students. That being said, some may not like this as a first book on topology.
Willard's General Topology is a comprehensive text on topology, good for use in a course - which is how I came in contact with the text. I like that it includes some seldomly covered topics such as ultrafilters. However, the presence of typos and errata in the book lowers the score a bit for me. I would still recommend this book, and I continue to reference it from time to time.