Topology is a sub-field of mathematics. It deals with the study of preserved properties of space under repeated crumpling, stretching and bending. This area includes two major properties namely compactness, and connectedness. The important sub-fields included in topology are geometric topology, general topology, differential topology and algebraic topology. This book unfolds the innovative aspects of topology, which will be crucial for the holistic understanding of the subject matter. The topics included in it are of utmost significance and bound to provide incredible insights to readers. Those in search of information to further their knowledge will be greatly assisted by this textbook.