Elementary Topology

This book offers a thorough introduction to the important topics of topology, a variety of interesting, concrete examples, and ample opportunity and guidance for building reasoning skills and writing proofs. It uses a unique, less-abstract, more example-driven approach that uses the setting of Euclidean space — mostly the line, the plane and 3-dimensional space. Focuses on Rn. Covers: Open and Closed Subsets; Building Open and Closed Subsets; Continuity; Homeomorphism; Cantor Sets and Similar Constructions; Embeddings; Connectivity; Path Connectedness; Closure, Limit Points, and Limit Points of Sequences; Compactness; Local Connectivity; Space Filling Curves; Manifolds; Simple Connectivity; Deformation Type; Knots and Knottings; Complexes; Higher Dimensions; and The Poincare “Conjecture.” For anyone who needs an introduction to topology.