Introduction to Topology

Introduction to Topology by Mansfield, Maynard Joseph is a comprehensive guide to the study of topology, which is a branch of mathematics that deals with the properties of space that are preserved under continuous transformations. The book is aimed at undergraduate students in mathematics, physics, and engineering who have completed a course in calculus and are interested in learning about topology.The book begins with an introduction to the basic concepts of topology, such as open and closed sets, continuity, and compactness. It then goes on to cover more advanced topics, such as connectedness, separation axioms, and the fundamental group. The book also includes a chapter on metric spaces, which are a special type of topological space that is defined by a distance function.Throughout the book, the author provides numerous examples and exercises to help students understand the concepts and develop their problem-solving skills. The book also includes a number of appendices that provide additional background material on set theory, logic, and other mathematical topics that are relevant to topology.Overall, Introduction to Topology is an accessible and engaging introduction to this important area of mathematics. It is suitable for self-study or as a textbook for a course in topology.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.