"An elegant piece of work, suitable as a text for the beginning student as well as pleasant and informative reading for the mature mathematician." - Scripta Mathematica This critically acclaimed text by a major twentieth-century mathematician presents a detailed theory of Frechet (V) spaces and a comprehensive examination of their relevance to topological spaces, plus in-depth discussions of metric and complete spaces. The author's exposition is clear and refined. Moreover, his axiomatic treatment of the theory of point sets, apart from its logical simplicity, has also an advantage: it supplies excellent material for exercise in abstract thinking and logical argument in the deduction of theorems from stated suppositions alone - that is, in proving theorems by drawing on strictly logical conclusions, without appeal to intuition. Numerous worked and unworked examples supplement each chapter. AUTHOR: Waclaw Sierpinski (1882 1969) was a prominent Polish mathematician and the author of 50 books and over 700 papers. His major contributions were in the areas of set theory, number theory, the theory of functions, and topology. He was for most of his life on the faculty of the University of Warsaw. Dover also publishes his Pythagorean Triangles.