Analytic Topology is a book written by Gordon Thomas Whyburn and published by the American Mathematical Society as part of their Colloquium Publications series. The book provides an introduction to the study of topological spaces and their properties, with an emphasis on analytic methods and techniques. The topics covered include metric spaces, convergence, continuity, compactness, connectedness, and separation axioms. The book also includes discussions on the relationship between topology and analysis, as well as the role of topology in other areas of mathematics such as algebraic topology and differential geometry. This book is intended for graduate students and researchers in mathematics who have a basic understanding of real analysis and abstract algebra.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.