This problem set is carefully designed; if the student goes through all the problems in the book then at the end he is familiar with almost all basic notions in general topology. In addition to this, he knows more what mathematics is about than can be expected of a student taking an ordinary course in general topology. This book is well written and will be of lasting importance to both teachers and students in general topology.' Zentralblatt fA1/4r Mathematik, 568 (1986)